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Finding the Fourth Proportional to 16,502.86, 22,773.91 and 9,429.12

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Solution

The fourth proportional to 16,502.86, 22,773.91 and 9,429.12 is: 13,012.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,502.86 : 22,773.91 = 9,429.12 : x
  2. Step 2: Convert to fraction form
    16,502.86/22,773.91 = 9,429.12/x
  3. Step 3: Cross multiply
    16,502.86x = 22,773.91 × 9,429.12
  4. Step 4: Simplify right side
    16,502.86x = 214,737,930.26
  5. Step 5: Solve for x
    x = 214,737,930.26/16,502.86
  6. Step 6: Final answer
    x = 13,012.16

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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.