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Finding the Fourth Proportional to 22,886.50, 34,329.96 and 9,035.50

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Solution

The fourth proportional to 22,886.50, 34,329.96 and 9,035.50 is: 13,553.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,886.50 : 34,329.96 = 9,035.50 : x
  2. Step 2: Convert to fraction form
    22,886.50/34,329.96 = 9,035.50/x
  3. Step 3: Cross multiply
    22,886.50x = 34,329.96 × 9,035.50
  4. Step 4: Simplify right side
    22,886.50x = 310,188,353.58
  5. Step 5: Solve for x
    x = 310,188,353.58/22,886.50
  6. Step 6: Final answer
    x = 13,553.33

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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.