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Finding the Fourth Proportional to 22,817.24, 34,228.02 and 8,963

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Solution

The fourth proportional to 22,817.24, 34,228.02 and 8,963 is: 13,445.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,817.24 : 34,228.02 = 8,963 : x
  2. Step 2: Convert to fraction form
    22,817.24/34,228.02 = 8,963/x
  3. Step 3: Cross multiply
    22,817.24x = 34,228.02 × 8,963
  4. Step 4: Simplify right side
    22,817.24x = 306,785,743.26
  5. Step 5: Solve for x
    x = 306,785,743.26/22,817.24
  6. Step 6: Final answer
    x = 13,445.35

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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.