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Finding the Fourth Proportional to 24,732.26, 37,098.05 and 6,012.24

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Solution

The fourth proportional to 24,732.26, 37,098.05 and 6,012.24 is: 9,018.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,732.26 : 37,098.05 = 6,012.24 : x
  2. Step 2: Convert to fraction form
    24,732.26/37,098.05 = 6,012.24/x
  3. Step 3: Cross multiply
    24,732.26x = 37,098.05 × 6,012.24
  4. Step 4: Simplify right side
    24,732.26x = 223,042,380.13
  5. Step 5: Solve for x
    x = 223,042,380.13/24,732.26
  6. Step 6: Final answer
    x = 9,018.28

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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.