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Finding the Fourth Proportional to 22,885.52, 34,334.20 and 13,405.84

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Solution

The fourth proportional to 22,885.52, 34,334.20 and 13,405.84 is: 20,112.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,885.52 : 34,334.20 = 13,405.84 : x
  2. Step 2: Convert to fraction form
    22,885.52/34,334.20 = 13,405.84/x
  3. Step 3: Cross multiply
    22,885.52x = 34,334.20 × 13,405.84
  4. Step 4: Simplify right side
    22,885.52x = 460,278,791.73
  5. Step 5: Solve for x
    x = 460,278,791.73/22,885.52
  6. Step 6: Final answer
    x = 20,112.23

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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.