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Finding the Fourth Proportional to 26,864.52, 40,286.25 and 15,774

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Solution

The fourth proportional to 26,864.52, 40,286.25 and 15,774 is: 23,654.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,864.52 : 40,286.25 = 15,774 : x
  2. Step 2: Convert to fraction form
    26,864.52/40,286.25 = 15,774/x
  3. Step 3: Cross multiply
    26,864.52x = 40,286.25 × 15,774
  4. Step 4: Simplify right side
    26,864.52x = 635,475,307.50
  5. Step 5: Solve for x
    x = 635,475,307.50/26,864.52
  6. Step 6: Final answer
    x = 23,654.82

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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.