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Finding the Fourth Proportional to 22,276.72, 33,422.10 and 13,401.75

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Solution

The fourth proportional to 22,276.72, 33,422.10 and 13,401.75 is: 20,106.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,276.72 : 33,422.10 = 13,401.75 : x
  2. Step 2: Convert to fraction form
    22,276.72/33,422.10 = 13,401.75/x
  3. Step 3: Cross multiply
    22,276.72x = 33,422.10 × 13,401.75
  4. Step 4: Simplify right side
    22,276.72x = 447,914,561.67
  5. Step 5: Solve for x
    x = 447,914,561.67/22,276.72
  6. Step 6: Final answer
    x = 20,106.85

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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.