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Finding the Fourth Proportional to 24,731.69, 34,129.86 and 13,401.20

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Solution

The fourth proportional to 24,731.69, 34,129.86 and 13,401.20 is: 18,493.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,731.69 : 34,129.86 = 13,401.20 : x
  2. Step 2: Convert to fraction form
    24,731.69/34,129.86 = 13,401.20/x
  3. Step 3: Cross multiply
    24,731.69x = 34,129.86 × 13,401.20
  4. Step 4: Simplify right side
    24,731.69x = 457,380,909.18
  5. Step 5: Solve for x
    x = 457,380,909.18/24,731.69
  6. Step 6: Final answer
    x = 18,493.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.