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Finding the Fourth Proportional to 22,909.32, 34,363.96 and 6,269.50

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Solution

The fourth proportional to 22,909.32, 34,363.96 and 6,269.50 is: 9,404.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,909.32 : 34,363.96 = 6,269.50 : x
  2. Step 2: Convert to fraction form
    22,909.32/34,363.96 = 6,269.50/x
  3. Step 3: Cross multiply
    22,909.32x = 34,363.96 × 6,269.50
  4. Step 4: Simplify right side
    22,909.32x = 215,444,874.50
  5. Step 5: Solve for x
    x = 215,444,874.50/22,909.32
  6. Step 6: Final answer
    x = 9,404.25

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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.