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Finding the Fourth Proportional to 27,857.60, 41,785.28 and 9,139.04

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Solution

The fourth proportional to 27,857.60, 41,785.28 and 9,139.04 is: 13,708.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,857.60 : 41,785.28 = 9,139.04 : x
  2. Step 2: Convert to fraction form
    27,857.60/41,785.28 = 9,139.04/x
  3. Step 3: Cross multiply
    27,857.60x = 41,785.28 × 9,139.04
  4. Step 4: Simplify right side
    27,857.60x = 381,877,345.33
  5. Step 5: Solve for x
    x = 381,877,345.33/27,857.60
  6. Step 6: Final answer
    x = 13,708.19

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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.