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Finding the Fourth Proportional to 15,737.13, 21,714.48 and 9,449.64

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Solution

The fourth proportional to 15,737.13, 21,714.48 and 9,449.64 is: 13,038.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,737.13 : 21,714.48 = 9,449.64 : x
  2. Step 2: Convert to fraction form
    15,737.13/21,714.48 = 9,449.64/x
  3. Step 3: Cross multiply
    15,737.13x = 21,714.48 × 9,449.64
  4. Step 4: Simplify right side
    15,737.13x = 205,194,018.79
  5. Step 5: Solve for x
    x = 205,194,018.79/15,737.13
  6. Step 6: Final answer
    x = 13,038.85

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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.