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Finding the Fourth Proportional to 16,306.23, 22,502.67 and 9,234.02

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Solution

The fourth proportional to 16,306.23, 22,502.67 and 9,234.02 is: 12,742.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,306.23 : 22,502.67 = 9,234.02 : x
  2. Step 2: Convert to fraction form
    16,306.23/22,502.67 = 9,234.02/x
  3. Step 3: Cross multiply
    16,306.23x = 22,502.67 × 9,234.02
  4. Step 4: Simplify right side
    16,306.23x = 207,790,104.83
  5. Step 5: Solve for x
    x = 207,790,104.83/16,306.23
  6. Step 6: Final answer
    x = 12,742.99

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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.