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Finding the Fourth Proportional to 24,588.38, 36,882.70 and 6,120.38

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Solution

The fourth proportional to 24,588.38, 36,882.70 and 6,120.38 is: 9,180.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,588.38 : 36,882.70 = 6,120.38 : x
  2. Step 2: Convert to fraction form
    24,588.38/36,882.70 = 6,120.38/x
  3. Step 3: Cross multiply
    24,588.38x = 36,882.70 × 6,120.38
  4. Step 4: Simplify right side
    24,588.38x = 225,735,939.71
  5. Step 5: Solve for x
    x = 225,735,939.71/24,588.38
  6. Step 6: Final answer
    x = 9,180.60

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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.