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Finding the Fourth Proportional to 24,978.97, 34,471.77 and 13,649.10

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Solution

The fourth proportional to 24,978.97, 34,471.77 and 13,649.10 is: 18,836.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,978.97 : 34,471.77 = 13,649.10 : x
  2. Step 2: Convert to fraction form
    24,978.97/34,471.77 = 13,649.10/x
  3. Step 3: Cross multiply
    24,978.97x = 34,471.77 × 13,649.10
  4. Step 4: Simplify right side
    24,978.97x = 470,508,635.91
  5. Step 5: Solve for x
    x = 470,508,635.91/24,978.97
  6. Step 6: Final answer
    x = 18,836.19

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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.