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Finding the Fourth Proportional to 15,102.66, 20,842.26 and 8,388.80

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Solution

The fourth proportional to 15,102.66, 20,842.26 and 8,388.80 is: 11,576.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,102.66 : 20,842.26 = 8,388.80 : x
  2. Step 2: Convert to fraction form
    15,102.66/20,842.26 = 8,388.80/x
  3. Step 3: Cross multiply
    15,102.66x = 20,842.26 × 8,388.80
  4. Step 4: Simplify right side
    15,102.66x = 174,841,550.69
  5. Step 5: Solve for x
    x = 174,841,550.69/15,102.66
  6. Step 6: Final answer
    x = 11,576.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.