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Finding the Fourth Proportional to 26,074, 36,011.84 and 17,675.92

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Solution

The fourth proportional to 26,074, 36,011.84 and 17,675.92 is: 24,412.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,074 : 36,011.84 = 17,675.92 : x
  2. Step 2: Convert to fraction form
    26,074/36,011.84 = 17,675.92/x
  3. Step 3: Cross multiply
    26,074x = 36,011.84 × 17,675.92
  4. Step 4: Simplify right side
    26,074x = 636,542,402.89
  5. Step 5: Solve for x
    x = 636,542,402.89/26,074
  6. Step 6: Final answer
    x = 24,412.92

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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.