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Finding the Fourth Proportional to 16,306.49, 22,503.03 and 9,234.29

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Solution

The fourth proportional to 16,306.49, 22,503.03 and 9,234.29 is: 12,743.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,306.49 : 22,503.03 = 9,234.29 : x
  2. Step 2: Convert to fraction form
    16,306.49/22,503.03 = 9,234.29/x
  3. Step 3: Cross multiply
    16,306.49x = 22,503.03 × 9,234.29
  4. Step 4: Simplify right side
    16,306.49x = 207,799,392.38
  5. Step 5: Solve for x
    x = 207,799,392.38/16,306.49
  6. Step 6: Final answer
    x = 12,743.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.