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Finding the Fourth Proportional to 24,374, 36,561.20 and 5,906

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Solution

The fourth proportional to 24,374, 36,561.20 and 5,906 is: 8,859.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,374 : 36,561.20 = 5,906 : x
  2. Step 2: Convert to fraction form
    24,374/36,561.20 = 5,906/x
  3. Step 3: Cross multiply
    24,374x = 36,561.20 × 5,906
  4. Step 4: Simplify right side
    24,374x = 215,930,447.20
  5. Step 5: Solve for x
    x = 215,930,447.20/24,374
  6. Step 6: Final answer
    x = 8,859.05

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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.