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Finding the Fourth Proportional to 26,558.75, 39,842.21 and 9,024.48

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Solution

The fourth proportional to 26,558.75, 39,842.21 and 9,024.48 is: 13,538.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,558.75 : 39,842.21 = 9,024.48 : x
  2. Step 2: Convert to fraction form
    26,558.75/39,842.21 = 9,024.48/x
  3. Step 3: Cross multiply
    26,558.75x = 39,842.21 × 9,024.48
  4. Step 4: Simplify right side
    26,558.75x = 359,555,249.86
  5. Step 5: Solve for x
    x = 359,555,249.86/26,558.75
  6. Step 6: Final answer
    x = 13,538.11

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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.