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Finding the Fourth Proportional to 15,891.80, 23,841.84 and 6,031.28

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Solution

The fourth proportional to 15,891.80, 23,841.84 and 6,031.28 is: 9,048.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,891.80 : 23,841.84 = 6,031.28 : x
  2. Step 2: Convert to fraction form
    15,891.80/23,841.84 = 6,031.28/x
  3. Step 3: Cross multiply
    15,891.80x = 23,841.84 × 6,031.28
  4. Step 4: Simplify right side
    15,891.80x = 143,796,812.76
  5. Step 5: Solve for x
    x = 143,796,812.76/15,891.80
  6. Step 6: Final answer
    x = 9,048.49

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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.