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Finding the Fourth Proportional to 20,532.16, 28,149.65 and 20,158.48

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Solution

The fourth proportional to 20,532.16, 28,149.65 and 20,158.48 is: 27,637.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,532.16 : 28,149.65 = 20,158.48 : x
  2. Step 2: Convert to fraction form
    20,532.16/28,149.65 = 20,158.48/x
  3. Step 3: Cross multiply
    20,532.16x = 28,149.65 × 20,158.48
  4. Step 4: Simplify right side
    20,532.16x = 567,454,156.53
  5. Step 5: Solve for x
    x = 567,454,156.53/20,532.16
  6. Step 6: Final answer
    x = 27,637.33

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.