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Finding the Fourth Proportional to 26,882.16, 40,264.92 and 13,002

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Solution

The fourth proportional to 26,882.16, 40,264.92 and 13,002 is: 19,474.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,882.16 : 40,264.92 = 13,002 : x
  2. Step 2: Convert to fraction form
    26,882.16/40,264.92 = 13,002/x
  3. Step 3: Cross multiply
    26,882.16x = 40,264.92 × 13,002
  4. Step 4: Simplify right side
    26,882.16x = 523,524,489.84
  5. Step 5: Solve for x
    x = 523,524,489.84/26,882.16
  6. Step 6: Final answer
    x = 19,474.79

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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.