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Finding the Fourth Proportional to 16,542.12, 24,807.92 and 5,446.34

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Solution

The fourth proportional to 16,542.12, 24,807.92 and 5,446.34 is: 8,167.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,542.12 : 24,807.92 = 5,446.34 : x
  2. Step 2: Convert to fraction form
    16,542.12/24,807.92 = 5,446.34/x
  3. Step 3: Cross multiply
    16,542.12x = 24,807.92 × 5,446.34
  4. Step 4: Simplify right side
    16,542.12x = 135,112,215.74
  5. Step 5: Solve for x
    x = 135,112,215.74/16,542.12
  6. Step 6: Final answer
    x = 8,167.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.