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Finding the Fourth Proportional to 27,887.52, 41,842.24 and 12,294.24

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Solution

The fourth proportional to 27,887.52, 41,842.24 and 12,294.24 is: 18,446.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,887.52 : 41,842.24 = 12,294.24 : x
  2. Step 2: Convert to fraction form
    27,887.52/41,842.24 = 12,294.24/x
  3. Step 3: Cross multiply
    27,887.52x = 41,842.24 × 12,294.24
  4. Step 4: Simplify right side
    27,887.52x = 514,418,540.70
  5. Step 5: Solve for x
    x = 514,418,540.70/27,887.52
  6. Step 6: Final answer
    x = 18,446.19

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1.5x scale

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.