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Finding the Fourth Proportional to 27,761.92, 38,312.80 and 16,437.92

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Solution

The fourth proportional to 27,761.92, 38,312.80 and 16,437.92 is: 22,685.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,761.92 : 38,312.80 = 16,437.92 : x
  2. Step 2: Convert to fraction form
    27,761.92/38,312.80 = 16,437.92/x
  3. Step 3: Cross multiply
    27,761.92x = 38,312.80 × 16,437.92
  4. Step 4: Simplify right side
    27,761.92x = 629,782,741.38
  5. Step 5: Solve for x
    x = 629,782,741.38/27,761.92
  6. Step 6: Final answer
    x = 22,685.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.