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Finding the Fourth Proportional to 24,823.38, 37,240.50 and 8,182.74

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Solution

The fourth proportional to 24,823.38, 37,240.50 and 8,182.74 is: 12,275.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,823.38 : 37,240.50 = 8,182.74 : x
  2. Step 2: Convert to fraction form
    24,823.38/37,240.50 = 8,182.74/x
  3. Step 3: Cross multiply
    24,823.38x = 37,240.50 × 8,182.74
  4. Step 4: Simplify right side
    24,823.38x = 304,729,328.97
  5. Step 5: Solve for x
    x = 304,729,328.97/24,823.38
  6. Step 6: Final answer
    x = 12,275.90

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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.