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Finding the Fourth Proportional to 24,471.52, 36,712.75 and 7,832.55

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Solution

The fourth proportional to 24,471.52, 36,712.75 and 7,832.55 is: 11,750.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,471.52 : 36,712.75 = 7,832.55 : x
  2. Step 2: Convert to fraction form
    24,471.52/36,712.75 = 7,832.55/x
  3. Step 3: Cross multiply
    24,471.52x = 36,712.75 × 7,832.55
  4. Step 4: Simplify right side
    24,471.52x = 287,554,450.01
  5. Step 5: Solve for x
    x = 287,554,450.01/24,471.52
  6. Step 6: Final answer
    x = 11,750.58

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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.