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Finding the Fourth Proportional to 24,147.21, 36,213.76 and 9,352.61

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Solution

The fourth proportional to 24,147.21, 36,213.76 and 9,352.61 is: 14,026.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,147.21 : 36,213.76 = 9,352.61 : x
  2. Step 2: Convert to fraction form
    24,147.21/36,213.76 = 9,352.61/x
  3. Step 3: Cross multiply
    24,147.21x = 36,213.76 × 9,352.61
  4. Step 4: Simplify right side
    24,147.21x = 338,693,317.74
  5. Step 5: Solve for x
    x = 338,693,317.74/24,147.21
  6. Step 6: Final answer
    x = 14,026.19

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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.