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Finding the Fourth Proportional to 14,906.97, 22,331.19 and 8,653.87

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Solution

The fourth proportional to 14,906.97, 22,331.19 and 8,653.87 is: 12,963.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,906.97 : 22,331.19 = 8,653.87 : x
  2. Step 2: Convert to fraction form
    14,906.97/22,331.19 = 8,653.87/x
  3. Step 3: Cross multiply
    14,906.97x = 22,331.19 × 8,653.87
  4. Step 4: Simplify right side
    14,906.97x = 193,251,275.57
  5. Step 5: Solve for x
    x = 193,251,275.57/14,906.97
  6. Step 6: Final answer
    x = 12,963.82

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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.