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Finding the Fourth Proportional to 26,475.84, 39,719.50 and 7,757.44

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Solution

The fourth proportional to 26,475.84, 39,719.50 and 7,757.44 is: 11,637.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,475.84 : 39,719.50 = 7,757.44 : x
  2. Step 2: Convert to fraction form
    26,475.84/39,719.50 = 7,757.44/x
  3. Step 3: Cross multiply
    26,475.84x = 39,719.50 × 7,757.44
  4. Step 4: Simplify right side
    26,475.84x = 308,121,638.08
  5. Step 5: Solve for x
    x = 308,121,638.08/26,475.84
  6. Step 6: Final answer
    x = 11,637.84

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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.