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Finding the Fourth Proportional to 16,536.54, 22,813.92 and 9,459.12

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Solution

The fourth proportional to 16,536.54, 22,813.92 and 9,459.12 is: 13,049.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,536.54 : 22,813.92 = 9,459.12 : x
  2. Step 2: Convert to fraction form
    16,536.54/22,813.92 = 9,459.12/x
  3. Step 3: Cross multiply
    16,536.54x = 22,813.92 × 9,459.12
  4. Step 4: Simplify right side
    16,536.54x = 215,799,606.95
  5. Step 5: Solve for x
    x = 215,799,606.95/16,536.54
  6. Step 6: Final answer
    x = 13,049.86

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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.