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Finding the Fourth Proportional to 19,711.20, 29,494.80 and 14,527.20

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Solution

The fourth proportional to 19,711.20, 29,494.80 and 14,527.20 is: 21,737.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,711.20 : 29,494.80 = 14,527.20 : x
  2. Step 2: Convert to fraction form
    19,711.20/29,494.80 = 14,527.20/x
  3. Step 3: Cross multiply
    19,711.20x = 29,494.80 × 14,527.20
  4. Step 4: Simplify right side
    19,711.20x = 428,476,858.56
  5. Step 5: Solve for x
    x = 428,476,858.56/19,711.20
  6. Step 6: Final answer
    x = 21,737.74

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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.