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Finding the Fourth Proportional to 20,158.47, 30,213 and 15,212.61

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Solution

The fourth proportional to 20,158.47, 30,213 and 15,212.61 is: 22,800.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,158.47 : 30,213 = 15,212.61 : x
  2. Step 2: Convert to fraction form
    20,158.47/30,213 = 15,212.61/x
  3. Step 3: Cross multiply
    20,158.47x = 30,213 × 15,212.61
  4. Step 4: Simplify right side
    20,158.47x = 459,618,585.93
  5. Step 5: Solve for x
    x = 459,618,585.93/20,158.47
  6. Step 6: Final answer
    x = 22,800.27

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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.