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Finding the Fourth Proportional to 27,294.64, 40,943.85 and 10,649.14

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Solution

The fourth proportional to 27,294.64, 40,943.85 and 10,649.14 is: 15,974.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,294.64 : 40,943.85 = 10,649.14 : x
  2. Step 2: Convert to fraction form
    27,294.64/40,943.85 = 10,649.14/x
  3. Step 3: Cross multiply
    27,294.64x = 40,943.85 × 10,649.14
  4. Step 4: Simplify right side
    27,294.64x = 436,016,648.50
  5. Step 5: Solve for x
    x = 436,016,648.50/27,294.64
  6. Step 6: Final answer
    x = 15,974.44

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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.