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Finding the Fourth Proportional to 13,882.25, 20,825.54 and 4,520.06

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Solution

The fourth proportional to 13,882.25, 20,825.54 and 4,520.06 is: 6,780.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,882.25 : 20,825.54 = 4,520.06 : x
  2. Step 2: Convert to fraction form
    13,882.25/20,825.54 = 4,520.06/x
  3. Step 3: Cross multiply
    13,882.25x = 20,825.54 × 4,520.06
  4. Step 4: Simplify right side
    13,882.25x = 94,132,638.27
  5. Step 5: Solve for x
    x = 94,132,638.27/13,882.25
  6. Step 6: Final answer
    x = 6,780.79

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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.