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Finding the Fourth Proportional to 24,230.97, 36,351.33 and 8,648.19

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Solution

The fourth proportional to 24,230.97, 36,351.33 and 8,648.19 is: 12,974.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,230.97 : 36,351.33 = 8,648.19 : x
  2. Step 2: Convert to fraction form
    24,230.97/36,351.33 = 8,648.19/x
  3. Step 3: Cross multiply
    24,230.97x = 36,351.33 × 8,648.19
  4. Step 4: Simplify right side
    24,230.97x = 314,373,026.84
  5. Step 5: Solve for x
    x = 314,373,026.84/24,230.97
  6. Step 6: Final answer
    x = 12,974.02

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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.