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Finding the Fourth Proportional to 22,909.10, 34,363.65 and 11,216.30

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Solution

The fourth proportional to 22,909.10, 34,363.65 and 11,216.30 is: 16,824.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,909.10 : 34,363.65 = 11,216.30 : x
  2. Step 2: Convert to fraction form
    22,909.10/34,363.65 = 11,216.30/x
  3. Step 3: Cross multiply
    22,909.10x = 34,363.65 × 11,216.30
  4. Step 4: Simplify right side
    22,909.10x = 385,433,007.50
  5. Step 5: Solve for x
    x = 385,433,007.50/22,909.10
  6. Step 6: Final answer
    x = 16,824.45

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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.