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Finding the Fourth Proportional to 22,810.24, 34,217.52 and 8,956

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Solution

The fourth proportional to 22,810.24, 34,217.52 and 8,956 is: 13,434.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,810.24 : 34,217.52 = 8,956 : x
  2. Step 2: Convert to fraction form
    22,810.24/34,217.52 = 8,956/x
  3. Step 3: Cross multiply
    22,810.24x = 34,217.52 × 8,956
  4. Step 4: Simplify right side
    22,810.24x = 306,452,109.12
  5. Step 5: Solve for x
    x = 306,452,109.12/22,810.24
  6. Step 6: Final answer
    x = 13,434.85

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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.