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Finding the Fourth Proportional to 24,027.31, 36,037.27 and 8,017.13

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Solution

The fourth proportional to 24,027.31, 36,037.27 and 8,017.13 is: 12,024.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,027.31 : 36,037.27 = 8,017.13 : x
  2. Step 2: Convert to fraction form
    24,027.31/36,037.27 = 8,017.13/x
  3. Step 3: Cross multiply
    24,027.31x = 36,037.27 × 8,017.13
  4. Step 4: Simplify right side
    24,027.31x = 288,915,578.55
  5. Step 5: Solve for x
    x = 288,915,578.55/24,027.31
  6. Step 6: Final answer
    x = 12,024.47

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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.