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Finding the Fourth Proportional to 27,424.60, 41,138.49 and 7,704.69

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Solution

The fourth proportional to 27,424.60, 41,138.49 and 7,704.69 is: 11,557.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,424.60 : 41,138.49 = 7,704.69 : x
  2. Step 2: Convert to fraction form
    27,424.60/41,138.49 = 7,704.69/x
  3. Step 3: Cross multiply
    27,424.60x = 41,138.49 × 7,704.69
  4. Step 4: Simplify right side
    27,424.60x = 316,959,312.52
  5. Step 5: Solve for x
    x = 316,959,312.52/27,424.60
  6. Step 6: Final answer
    x = 11,557.48

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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.