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Finding the Fourth Proportional to 16,937.72, 23,376.24 and 9,864.24

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Solution

The fourth proportional to 16,937.72, 23,376.24 and 9,864.24 is: 13,613.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,937.72 : 23,376.24 = 9,864.24 : x
  2. Step 2: Convert to fraction form
    16,937.72/23,376.24 = 9,864.24/x
  3. Step 3: Cross multiply
    16,937.72x = 23,376.24 × 9,864.24
  4. Step 4: Simplify right side
    16,937.72x = 230,588,841.66
  5. Step 5: Solve for x
    x = 230,588,841.66/16,937.72
  6. Step 6: Final answer
    x = 13,613.92

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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.