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Finding the Fourth Proportional to 12,472.61, 18,708.23 and 7,540.92

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Solution

The fourth proportional to 12,472.61, 18,708.23 and 7,540.92 is: 11,310.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,472.61 : 18,708.23 = 7,540.92 : x
  2. Step 2: Convert to fraction form
    12,472.61/18,708.23 = 7,540.92/x
  3. Step 3: Cross multiply
    12,472.61x = 18,708.23 × 7,540.92
  4. Step 4: Simplify right side
    12,472.61x = 141,077,326.50
  5. Step 5: Solve for x
    x = 141,077,326.50/12,472.61
  6. Step 6: Final answer
    x = 11,310.97

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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.