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Finding the Fourth Proportional to 22,564.80, 33,856.80 and 14,251.20

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Solution

The fourth proportional to 22,564.80, 33,856.80 and 14,251.20 is: 21,382.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,564.80 : 33,856.80 = 14,251.20 : x
  2. Step 2: Convert to fraction form
    22,564.80/33,856.80 = 14,251.20/x
  3. Step 3: Cross multiply
    22,564.80x = 33,856.80 × 14,251.20
  4. Step 4: Simplify right side
    22,564.80x = 482,500,028.16
  5. Step 5: Solve for x
    x = 482,500,028.16/22,564.80
  6. Step 6: Final answer
    x = 21,382.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.