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Finding the Fourth Proportional to 33,140.88, 49,724.28 and 12,366

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Solution

The fourth proportional to 33,140.88, 49,724.28 and 12,366 is: 18,553.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,140.88 : 49,724.28 = 12,366 : x
  2. Step 2: Convert to fraction form
    33,140.88/49,724.28 = 12,366/x
  3. Step 3: Cross multiply
    33,140.88x = 49,724.28 × 12,366
  4. Step 4: Simplify right side
    33,140.88x = 614,890,446.48
  5. Step 5: Solve for x
    x = 614,890,446.48/33,140.88
  6. Step 6: Final answer
    x = 18,553.84

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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.