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Finding the Fourth Proportional to 21,685.56, 29,929.36 and 15,744.20

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Solution

The fourth proportional to 21,685.56, 29,929.36 and 15,744.20 is: 21,729.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,685.56 : 29,929.36 = 15,744.20 : x
  2. Step 2: Convert to fraction form
    21,685.56/29,929.36 = 15,744.20/x
  3. Step 3: Cross multiply
    21,685.56x = 29,929.36 × 15,744.20
  4. Step 4: Simplify right side
    21,685.56x = 471,213,829.71
  5. Step 5: Solve for x
    x = 471,213,829.71/21,685.56
  6. Step 6: Final answer
    x = 21,729.38

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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.