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Finding the Fourth Proportional to 24,471.59, 36,713.75 and 9,474.21

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Solution

The fourth proportional to 24,471.59, 36,713.75 and 9,474.21 is: 14,213.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,471.59 : 36,713.75 = 9,474.21 : x
  2. Step 2: Convert to fraction form
    24,471.59/36,713.75 = 9,474.21/x
  3. Step 3: Cross multiply
    24,471.59x = 36,713.75 × 9,474.21
  4. Step 4: Simplify right side
    24,471.59x = 347,833,730.02
  5. Step 5: Solve for x
    x = 347,833,730.02/24,471.59
  6. Step 6: Final answer
    x = 14,213.78

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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.