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Finding the Fourth Proportional to 13,842.33, 20,763.57 and 3,454.08

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Solution

The fourth proportional to 13,842.33, 20,763.57 and 3,454.08 is: 5,181.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,842.33 : 20,763.57 = 3,454.08 : x
  2. Step 2: Convert to fraction form
    13,842.33/20,763.57 = 3,454.08/x
  3. Step 3: Cross multiply
    13,842.33x = 20,763.57 × 3,454.08
  4. Step 4: Simplify right side
    13,842.33x = 71,719,031.87
  5. Step 5: Solve for x
    x = 71,719,031.87/13,842.33
  6. Step 6: Final answer
    x = 5,181.14

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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.