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Finding the Fourth Proportional to 13,842.38, 20,771.87 and 5,078.18

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Solution

The fourth proportional to 13,842.38, 20,771.87 and 5,078.18 is: 7,620.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,842.38 : 20,771.87 = 5,078.18 : x
  2. Step 2: Convert to fraction form
    13,842.38/20,771.87 = 5,078.18/x
  3. Step 3: Cross multiply
    13,842.38x = 20,771.87 × 5,078.18
  4. Step 4: Simplify right side
    13,842.38x = 105,483,165.55
  5. Step 5: Solve for x
    x = 105,483,165.55/13,842.38
  6. Step 6: Final answer
    x = 7,620.31

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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.