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Finding the Fourth Proportional to 16,213.59, 22,376.70 and 9,140.49

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Solution

The fourth proportional to 16,213.59, 22,376.70 and 9,140.49 is: 12,614.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,213.59 : 22,376.70 = 9,140.49 : x
  2. Step 2: Convert to fraction form
    16,213.59/22,376.70 = 9,140.49/x
  3. Step 3: Cross multiply
    16,213.59x = 22,376.70 × 9,140.49
  4. Step 4: Simplify right side
    16,213.59x = 204,534,002.58
  5. Step 5: Solve for x
    x = 204,534,002.58/16,213.59
  6. Step 6: Final answer
    x = 12,614.97

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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.