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Finding the Fourth Proportional to 17,881.96, 26,805.66 and 7,488.04

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Solution

The fourth proportional to 17,881.96, 26,805.66 and 7,488.04 is: 11,224.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,881.96 : 26,805.66 = 7,488.04 : x
  2. Step 2: Convert to fraction form
    17,881.96/26,805.66 = 7,488.04/x
  3. Step 3: Cross multiply
    17,881.96x = 26,805.66 × 7,488.04
  4. Step 4: Simplify right side
    17,881.96x = 200,721,854.31
  5. Step 5: Solve for x
    x = 200,721,854.31/17,881.96
  6. Step 6: Final answer
    x = 11,224.82

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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.