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Finding the Fourth Proportional to 17,743,402.40, 24,486,042.08 and 9,796,200.80

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Solution

The fourth proportional to 17,743,402.40, 24,486,042.08 and 9,796,200.80 is: 13,518,838.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,743,402.40 : 24,486,042.08 = 9,796,200.80 : x
  2. Step 2: Convert to fraction form
    17,743,402.40/24,486,042.08 = 9,796,200.80/x
  3. Step 3: Cross multiply
    17,743,402.40x = 24,486,042.08 × 9,796,200.80
  4. Step 4: Simplify right side
    17,743,402.40x = 239,870,185,012,929.66
  5. Step 5: Solve for x
    x = 239,870,185,012,929.66/17,743,402.40
  6. Step 6: Final answer
    x = 13,518,838.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.