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Finding the Fourth Proportional to 27,488.53, 41,200.92 and 12,666.31

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Solution

The fourth proportional to 27,488.53, 41,200.92 and 12,666.31 is: 18,984.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,488.53 : 41,200.92 = 12,666.31 : x
  2. Step 2: Convert to fraction form
    27,488.53/41,200.92 = 12,666.31/x
  3. Step 3: Cross multiply
    27,488.53x = 41,200.92 × 12,666.31
  4. Step 4: Simplify right side
    27,488.53x = 521,863,625.01
  5. Step 5: Solve for x
    x = 521,863,625.01/27,488.53
  6. Step 6: Final answer
    x = 18,984.78

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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.