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Finding the Fourth Proportional to 16,531.56, 22,815.42 and 9,459

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Solution

The fourth proportional to 16,531.56, 22,815.42 and 9,459 is: 13,054.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,531.56 : 22,815.42 = 9,459 : x
  2. Step 2: Convert to fraction form
    16,531.56/22,815.42 = 9,459/x
  3. Step 3: Cross multiply
    16,531.56x = 22,815.42 × 9,459
  4. Step 4: Simplify right side
    16,531.56x = 215,811,057.78
  5. Step 5: Solve for x
    x = 215,811,057.78/16,531.56
  6. Step 6: Final answer
    x = 13,054.49

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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.