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Finding the Fourth Proportional to 14,471.28, 21,702.48 and 5,584.56

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Solution

The fourth proportional to 14,471.28, 21,702.48 and 5,584.56 is: 8,375.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,471.28 : 21,702.48 = 5,584.56 : x
  2. Step 2: Convert to fraction form
    14,471.28/21,702.48 = 5,584.56/x
  3. Step 3: Cross multiply
    14,471.28x = 21,702.48 × 5,584.56
  4. Step 4: Simplify right side
    14,471.28x = 121,198,801.71
  5. Step 5: Solve for x
    x = 121,198,801.71/14,471.28
  6. Step 6: Final answer
    x = 8,375.13

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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.