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Finding the Fourth Proportional to 16,002.53, 22,073.20 and 9,714.91

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Solution

The fourth proportional to 16,002.53, 22,073.20 and 9,714.91 is: 13,400.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,002.53 : 22,073.20 = 9,714.91 : x
  2. Step 2: Convert to fraction form
    16,002.53/22,073.20 = 9,714.91/x
  3. Step 3: Cross multiply
    16,002.53x = 22,073.20 × 9,714.91
  4. Step 4: Simplify right side
    16,002.53x = 214,439,151.41
  5. Step 5: Solve for x
    x = 214,439,151.41/16,002.53
  6. Step 6: Final answer
    x = 13,400.33

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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.