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Finding the Fourth Proportional to 22,164.10, 33,246.15 and 20,349.70

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Solution

The fourth proportional to 22,164.10, 33,246.15 and 20,349.70 is: 30,524.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,164.10 : 33,246.15 = 20,349.70 : x
  2. Step 2: Convert to fraction form
    22,164.10/33,246.15 = 20,349.70/x
  3. Step 3: Cross multiply
    22,164.10x = 33,246.15 × 20,349.70
  4. Step 4: Simplify right side
    22,164.10x = 676,549,178.66
  5. Step 5: Solve for x
    x = 676,549,178.66/22,164.10
  6. Step 6: Final answer
    x = 30,524.55

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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.