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Finding the Fourth Proportional to 25,605.89, 38,408.82 and 8,077.08

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Solution

The fourth proportional to 25,605.89, 38,408.82 and 8,077.08 is: 12,115.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,605.89 : 38,408.82 = 8,077.08 : x
  2. Step 2: Convert to fraction form
    25,605.89/38,408.82 = 8,077.08/x
  3. Step 3: Cross multiply
    25,605.89x = 38,408.82 × 8,077.08
  4. Step 4: Simplify right side
    25,605.89x = 310,231,111.85
  5. Step 5: Solve for x
    x = 310,231,111.85/25,605.89
  6. Step 6: Final answer
    x = 12,115.62

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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.