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Finding the Fourth Proportional to 24,147.28, 36,213.90 and 9,352.90

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Solution

The fourth proportional to 24,147.28, 36,213.90 and 9,352.90 is: 14,026.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,147.28 : 36,213.90 = 9,352.90 : x
  2. Step 2: Convert to fraction form
    24,147.28/36,213.90 = 9,352.90/x
  3. Step 3: Cross multiply
    24,147.28x = 36,213.90 × 9,352.90
  4. Step 4: Simplify right side
    24,147.28x = 338,704,985.31
  5. Step 5: Solve for x
    x = 338,704,985.31/24,147.28
  6. Step 6: Final answer
    x = 14,026.63

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1.5x scale

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.