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Finding the Fourth Proportional to 27,794.24, 41,691.98 and 10,026.32

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Solution

The fourth proportional to 27,794.24, 41,691.98 and 10,026.32 is: 15,039.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,794.24 : 41,691.98 = 10,026.32 : x
  2. Step 2: Convert to fraction form
    27,794.24/41,691.98 = 10,026.32/x
  3. Step 3: Cross multiply
    27,794.24x = 41,691.98 × 10,026.32
  4. Step 4: Simplify right side
    27,794.24x = 418,017,132.91
  5. Step 5: Solve for x
    x = 418,017,132.91/27,794.24
  6. Step 6: Final answer
    x = 15,039.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.