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Finding the Fourth Proportional to 24,702.32, 37,057.56 and 8,057.52

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Solution

The fourth proportional to 24,702.32, 37,057.56 and 8,057.52 is: 12,087.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,702.32 : 37,057.56 = 8,057.52 : x
  2. Step 2: Convert to fraction form
    24,702.32/37,057.56 = 8,057.52/x
  3. Step 3: Cross multiply
    24,702.32x = 37,057.56 × 8,057.52
  4. Step 4: Simplify right side
    24,702.32x = 298,592,030.85
  5. Step 5: Solve for x
    x = 298,592,030.85/24,702.32
  6. Step 6: Final answer
    x = 12,087.61

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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.