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Finding the Fourth Proportional to 24,149.61, 36,220.27 and 6,380.46

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Solution

The fourth proportional to 24,149.61, 36,220.27 and 6,380.46 is: 9,569.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,149.61 : 36,220.27 = 6,380.46 : x
  2. Step 2: Convert to fraction form
    24,149.61/36,220.27 = 6,380.46/x
  3. Step 3: Cross multiply
    24,149.61x = 36,220.27 × 6,380.46
  4. Step 4: Simplify right side
    24,149.61x = 231,102,058.52
  5. Step 5: Solve for x
    x = 231,102,058.52/24,149.61
  6. Step 6: Final answer
    x = 9,569.60

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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.