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Finding the Fourth Proportional to 13,842.47, 20,763.71 and 3,454.22

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Solution

The fourth proportional to 13,842.47, 20,763.71 and 3,454.22 is: 5,181.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,842.47 : 20,763.71 = 3,454.22 : x
  2. Step 2: Convert to fraction form
    13,842.47/20,763.71 = 3,454.22/x
  3. Step 3: Cross multiply
    13,842.47x = 20,763.71 × 3,454.22
  4. Step 4: Simplify right side
    13,842.47x = 71,722,482.90
  5. Step 5: Solve for x
    x = 71,722,482.90/13,842.47
  6. Step 6: Final answer
    x = 5,181.33

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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.