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Finding the Fourth Proportional to 22,189.86, 33,283.53 and 13,422.42

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Solution

The fourth proportional to 22,189.86, 33,283.53 and 13,422.42 is: 20,132.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,189.86 : 33,283.53 = 13,422.42 : x
  2. Step 2: Convert to fraction form
    22,189.86/33,283.53 = 13,422.42/x
  3. Step 3: Cross multiply
    22,189.86x = 33,283.53 × 13,422.42
  4. Step 4: Simplify right side
    22,189.86x = 446,745,518.74
  5. Step 5: Solve for x
    x = 446,745,518.74/22,189.86
  6. Step 6: Final answer
    x = 20,132.87

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