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Finding the Fourth Proportional to 27,004.32, 40,508.64 and 8,285.76

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Solution

The fourth proportional to 27,004.32, 40,508.64 and 8,285.76 is: 12,429.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,004.32 : 40,508.64 = 8,285.76 : x
  2. Step 2: Convert to fraction form
    27,004.32/40,508.64 = 8,285.76/x
  3. Step 3: Cross multiply
    27,004.32x = 40,508.64 × 8,285.76
  4. Step 4: Simplify right side
    27,004.32x = 335,644,868.97
  5. Step 5: Solve for x
    x = 335,644,868.97/27,004.32
  6. Step 6: Final answer
    x = 12,429.30

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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.