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Finding the Fourth Proportional to 20,147.52, 30,193.68 and 15,213.12

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Solution

The fourth proportional to 20,147.52, 30,193.68 and 15,213.12 is: 22,798.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,147.52 : 30,193.68 = 15,213.12 : x
  2. Step 2: Convert to fraction form
    20,147.52/30,193.68 = 15,213.12/x
  3. Step 3: Cross multiply
    20,147.52x = 30,193.68 × 15,213.12
  4. Step 4: Simplify right side
    20,147.52x = 459,340,077.08
  5. Step 5: Solve for x
    x = 459,340,077.08/20,147.52
  6. Step 6: Final answer
    x = 22,798.84

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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.