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Finding the Fourth Proportional to 24,471.11, 36,700.97 and 11,978.62

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Solution

The fourth proportional to 24,471.11, 36,700.97 and 11,978.62 is: 17,965.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,471.11 : 36,700.97 = 11,978.62 : x
  2. Step 2: Convert to fraction form
    24,471.11/36,700.97 = 11,978.62/x
  3. Step 3: Cross multiply
    24,471.11x = 36,700.97 × 11,978.62
  4. Step 4: Simplify right side
    24,471.11x = 439,626,821.62
  5. Step 5: Solve for x
    x = 439,626,821.62/24,471.11
  6. Step 6: Final answer
    x = 17,965.13

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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.