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Finding the Fourth Proportional to 26,494.32, 39,747.63 and 7,775.82

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Solution

The fourth proportional to 26,494.32, 39,747.63 and 7,775.82 is: 11,665.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,494.32 : 39,747.63 = 7,775.82 : x
  2. Step 2: Convert to fraction form
    26,494.32/39,747.63 = 7,775.82/x
  3. Step 3: Cross multiply
    26,494.32x = 39,747.63 × 7,775.82
  4. Step 4: Simplify right side
    26,494.32x = 309,070,416.31
  5. Step 5: Solve for x
    x = 309,070,416.31/26,494.32
  6. Step 6: Final answer
    x = 11,665.53

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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.