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Finding the Fourth Proportional to 24,280.25, 36,411.56 and 8,480.85

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Solution

The fourth proportional to 24,280.25, 36,411.56 and 8,480.85 is: 12,718.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,280.25 : 36,411.56 = 8,480.85 : x
  2. Step 2: Convert to fraction form
    24,280.25/36,411.56 = 8,480.85/x
  3. Step 3: Cross multiply
    24,280.25x = 36,411.56 × 8,480.85
  4. Step 4: Simplify right side
    24,280.25x = 308,800,978.63
  5. Step 5: Solve for x
    x = 308,800,978.63/24,280.25
  6. Step 6: Final answer
    x = 12,718.20

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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.