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Finding the Fourth Proportional to 26,257.86, 39,392.65 and 9,617.54

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Solution

The fourth proportional to 26,257.86, 39,392.65 and 9,617.54 is: 14,428.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,257.86 : 39,392.65 = 9,617.54 : x
  2. Step 2: Convert to fraction form
    26,257.86/39,392.65 = 9,617.54/x
  3. Step 3: Cross multiply
    26,257.86x = 39,392.65 × 9,617.54
  4. Step 4: Simplify right side
    26,257.86x = 378,860,387.08
  5. Step 5: Solve for x
    x = 378,860,387.08/26,257.86
  6. Step 6: Final answer
    x = 14,428.46

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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.