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Finding the Fourth Proportional to 19,398.66, 29,106.63 and 10,162.50

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Solution

The fourth proportional to 19,398.66, 29,106.63 and 10,162.50 is: 15,248.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,398.66 : 29,106.63 = 10,162.50 : x
  2. Step 2: Convert to fraction form
    19,398.66/29,106.63 = 10,162.50/x
  3. Step 3: Cross multiply
    19,398.66x = 29,106.63 × 10,162.50
  4. Step 4: Simplify right side
    19,398.66x = 295,796,127.38
  5. Step 5: Solve for x
    x = 295,796,127.38/19,398.66
  6. Step 6: Final answer
    x = 15,248.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.