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Finding the Fourth Proportional to 26,158.32, 39,233.16 and 7,686

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Solution

The fourth proportional to 26,158.32, 39,233.16 and 7,686 is: 11,527.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,158.32 : 39,233.16 = 7,686 : x
  2. Step 2: Convert to fraction form
    26,158.32/39,233.16 = 7,686/x
  3. Step 3: Cross multiply
    26,158.32x = 39,233.16 × 7,686
  4. Step 4: Simplify right side
    26,158.32x = 301,546,067.76
  5. Step 5: Solve for x
    x = 301,546,067.76/26,158.32
  6. Step 6: Final answer
    x = 11,527.73

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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.