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Finding the Fourth Proportional to 22,967.20, 34,451.88 and 8,176.24

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Solution

The fourth proportional to 22,967.20, 34,451.88 and 8,176.24 is: 12,264.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,967.20 : 34,451.88 = 8,176.24 : x
  2. Step 2: Convert to fraction form
    22,967.20/34,451.88 = 8,176.24/x
  3. Step 3: Cross multiply
    22,967.20x = 34,451.88 × 8,176.24
  4. Step 4: Simplify right side
    22,967.20x = 281,686,839.33
  5. Step 5: Solve for x
    x = 281,686,839.33/22,967.20
  6. Step 6: Final answer
    x = 12,264.74

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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.