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Finding the Fourth Proportional to 24,260.97, 36,382.35 and 8,461.95

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Solution

The fourth proportional to 24,260.97, 36,382.35 and 8,461.95 is: 12,689.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,260.97 : 36,382.35 = 8,461.95 : x
  2. Step 2: Convert to fraction form
    24,260.97/36,382.35 = 8,461.95/x
  3. Step 3: Cross multiply
    24,260.97x = 36,382.35 × 8,461.95
  4. Step 4: Simplify right side
    24,260.97x = 307,865,626.58
  5. Step 5: Solve for x
    x = 307,865,626.58/24,260.97
  6. Step 6: Final answer
    x = 12,689.75

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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.