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Finding the Fourth Proportional to 15,740.33, 21,714.80 and 9,024.41

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Solution

The fourth proportional to 15,740.33, 21,714.80 and 9,024.41 is: 12,449.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,740.33 : 21,714.80 = 9,024.41 : x
  2. Step 2: Convert to fraction form
    15,740.33/21,714.80 = 9,024.41/x
  3. Step 3: Cross multiply
    15,740.33x = 21,714.80 × 9,024.41
  4. Step 4: Simplify right side
    15,740.33x = 195,963,318.20
  5. Step 5: Solve for x
    x = 195,963,318.20/15,740.33
  6. Step 6: Final answer
    x = 12,449.76

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