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Finding the Fourth Proportional to 26,023.14, 39,034.53 and 6,301.80

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Solution

The fourth proportional to 26,023.14, 39,034.53 and 6,301.80 is: 9,452.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,023.14 : 39,034.53 = 6,301.80 : x
  2. Step 2: Convert to fraction form
    26,023.14/39,034.53 = 6,301.80/x
  3. Step 3: Cross multiply
    26,023.14x = 39,034.53 × 6,301.80
  4. Step 4: Simplify right side
    26,023.14x = 245,987,801.15
  5. Step 5: Solve for x
    x = 245,987,801.15/26,023.14
  6. Step 6: Final answer
    x = 9,452.66

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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.