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Finding the Fourth Proportional to 13,842.18, 20,770.56 and 10,576.26

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Solution

The fourth proportional to 13,842.18, 20,770.56 and 10,576.26 is: 15,869.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,842.18 : 20,770.56 = 10,576.26 : x
  2. Step 2: Convert to fraction form
    13,842.18/20,770.56 = 10,576.26/x
  3. Step 3: Cross multiply
    13,842.18x = 20,770.56 × 10,576.26
  4. Step 4: Simplify right side
    13,842.18x = 219,674,842.91
  5. Step 5: Solve for x
    x = 219,674,842.91/13,842.18
  6. Step 6: Final answer
    x = 15,869.96

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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.