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Finding the Fourth Proportional to 16,306.57, 24,455.13 and 7,416.96

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Solution

The fourth proportional to 16,306.57, 24,455.13 and 7,416.96 is: 11,123.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,306.57 : 24,455.13 = 7,416.96 : x
  2. Step 2: Convert to fraction form
    16,306.57/24,455.13 = 7,416.96/x
  3. Step 3: Cross multiply
    16,306.57x = 24,455.13 × 7,416.96
  4. Step 4: Simplify right side
    16,306.57x = 181,382,721.00
  5. Step 5: Solve for x
    x = 181,382,721.00/16,306.57
  6. Step 6: Final answer
    x = 11,123.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.