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Finding the Fourth Proportional to 13,842.08, 20,764.04 and 5,083.15

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Solution

The fourth proportional to 13,842.08, 20,764.04 and 5,083.15 is: 7,625.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,842.08 : 20,764.04 = 5,083.15 : x
  2. Step 2: Convert to fraction form
    13,842.08/20,764.04 = 5,083.15/x
  3. Step 3: Cross multiply
    13,842.08x = 20,764.04 × 5,083.15
  4. Step 4: Simplify right side
    13,842.08x = 105,546,652.60
  5. Step 5: Solve for x
    x = 105,546,652.60/13,842.08
  6. Step 6: Final answer
    x = 7,625.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.