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Finding the Fourth Proportional to 17,654.14, 26,488.08 and 7,786.46

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Solution

The fourth proportional to 17,654.14, 26,488.08 and 7,786.46 is: 11,682.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,654.14 : 26,488.08 = 7,786.46 : x
  2. Step 2: Convert to fraction form
    17,654.14/26,488.08 = 7,786.46/x
  3. Step 3: Cross multiply
    17,654.14x = 26,488.08 × 7,786.46
  4. Step 4: Simplify right side
    17,654.14x = 206,248,375.40
  5. Step 5: Solve for x
    x = 206,248,375.40/17,654.14
  6. Step 6: Final answer
    x = 11,682.72

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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.