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Finding the Fourth Proportional to 24,487.75, 36,739.86 and 10,447.21

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Solution

The fourth proportional to 24,487.75, 36,739.86 and 10,447.21 is: 15,674.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,487.75 : 36,739.86 = 10,447.21 : x
  2. Step 2: Convert to fraction form
    24,487.75/36,739.86 = 10,447.21/x
  3. Step 3: Cross multiply
    24,487.75x = 36,739.86 × 10,447.21
  4. Step 4: Simplify right side
    24,487.75x = 383,829,032.79
  5. Step 5: Solve for x
    x = 383,829,032.79/24,487.75
  6. Step 6: Final answer
    x = 15,674.33

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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.