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Finding the Fourth Proportional to 16,306.92, 24,472.60 and 7,548

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Solution

The fourth proportional to 16,306.92, 24,472.60 and 7,548 is: 11,327.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,306.92 : 24,472.60 = 7,548 : x
  2. Step 2: Convert to fraction form
    16,306.92/24,472.60 = 7,548/x
  3. Step 3: Cross multiply
    16,306.92x = 24,472.60 × 7,548
  4. Step 4: Simplify right side
    16,306.92x = 184,719,184.80
  5. Step 5: Solve for x
    x = 184,719,184.80/16,306.92
  6. Step 6: Final answer
    x = 11,327.66

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Why These Related Problems?

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