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Finding the Fourth Proportional to 26,624.50, 39,944.04 and 11,042.14

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Solution

The fourth proportional to 26,624.50, 39,944.04 and 11,042.14 is: 16,566.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,624.50 : 39,944.04 = 11,042.14 : x
  2. Step 2: Convert to fraction form
    26,624.50/39,944.04 = 11,042.14/x
  3. Step 3: Cross multiply
    26,624.50x = 39,944.04 × 11,042.14
  4. Step 4: Simplify right side
    26,624.50x = 441,067,681.85
  5. Step 5: Solve for x
    x = 441,067,681.85/26,624.50
  6. Step 6: Final answer
    x = 16,566.23

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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.