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Finding the Fourth Proportional to 13,842.40, 20,766.76 and 6,053.44

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Solution

The fourth proportional to 13,842.40, 20,766.76 and 6,053.44 is: 9,081.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,842.40 : 20,766.76 = 6,053.44 : x
  2. Step 2: Convert to fraction form
    13,842.40/20,766.76 = 6,053.44/x
  3. Step 3: Cross multiply
    13,842.40x = 20,766.76 × 6,053.44
  4. Step 4: Simplify right side
    13,842.40x = 125,710,335.65
  5. Step 5: Solve for x
    x = 125,710,335.65/13,842.40
  6. Step 6: Final answer
    x = 9,081.54

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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.