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Finding the Fourth Proportional to 16,281.66, 22,469.18 and 9,207.94

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Solution

The fourth proportional to 16,281.66, 22,469.18 and 9,207.94 is: 12,707.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,281.66 : 22,469.18 = 9,207.94 : x
  2. Step 2: Convert to fraction form
    16,281.66/22,469.18 = 9,207.94/x
  3. Step 3: Cross multiply
    16,281.66x = 22,469.18 × 9,207.94
  4. Step 4: Simplify right side
    16,281.66x = 206,894,861.29
  5. Step 5: Solve for x
    x = 206,894,861.29/16,281.66
  6. Step 6: Final answer
    x = 12,707.23

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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.