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Finding the Fourth Proportional to 27,242.40, 40,863.60 and 9,712.80

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Solution

The fourth proportional to 27,242.40, 40,863.60 and 9,712.80 is: 14,569.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,242.40 : 40,863.60 = 9,712.80 : x
  2. Step 2: Convert to fraction form
    27,242.40/40,863.60 = 9,712.80/x
  3. Step 3: Cross multiply
    27,242.40x = 40,863.60 × 9,712.80
  4. Step 4: Simplify right side
    27,242.40x = 396,899,974.08
  5. Step 5: Solve for x
    x = 396,899,974.08/27,242.40
  6. Step 6: Final answer
    x = 14,569.20

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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.