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Finding the Fourth Proportional to 22,815.24, 34,225.02 and 8,961

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Solution

The fourth proportional to 22,815.24, 34,225.02 and 8,961 is: 13,442.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,815.24 : 34,225.02 = 8,961 : x
  2. Step 2: Convert to fraction form
    22,815.24/34,225.02 = 8,961/x
  3. Step 3: Cross multiply
    22,815.24x = 34,225.02 × 8,961
  4. Step 4: Simplify right side
    22,815.24x = 306,690,404.22
  5. Step 5: Solve for x
    x = 306,690,404.22/22,815.24
  6. Step 6: Final answer
    x = 13,442.35

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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.