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Finding the Fourth Proportional to 26,023.48, 39,035.31 and 6,302

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Solution

The fourth proportional to 26,023.48, 39,035.31 and 6,302 is: 9,453.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,023.48 : 39,035.31 = 6,302 : x
  2. Step 2: Convert to fraction form
    26,023.48/39,035.31 = 6,302/x
  3. Step 3: Cross multiply
    26,023.48x = 39,035.31 × 6,302
  4. Step 4: Simplify right side
    26,023.48x = 246,000,523.62
  5. Step 5: Solve for x
    x = 246,000,523.62/26,023.48
  6. Step 6: Final answer
    x = 9,453.02

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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.