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Finding the Fourth Proportional to 22,913.50, 34,359.18 and 8,863.24

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Solution

The fourth proportional to 22,913.50, 34,359.18 and 8,863.24 is: 13,290.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,913.50 : 34,359.18 = 8,863.24 : x
  2. Step 2: Convert to fraction form
    22,913.50/34,359.18 = 8,863.24/x
  3. Step 3: Cross multiply
    22,913.50x = 34,359.18 × 8,863.24
  4. Step 4: Simplify right side
    22,913.50x = 304,533,658.54
  5. Step 5: Solve for x
    x = 304,533,658.54/22,913.50
  6. Step 6: Final answer
    x = 13,290.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.