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Finding the Fourth Proportional to 13,576.16, 18,734.33 and 7,911.83

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Solution

The fourth proportional to 13,576.16, 18,734.33 and 7,911.83 is: 10,917.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,576.16 : 18,734.33 = 7,911.83 : x
  2. Step 2: Convert to fraction form
    13,576.16/18,734.33 = 7,911.83/x
  3. Step 3: Cross multiply
    13,576.16x = 18,734.33 × 7,911.83
  4. Step 4: Simplify right side
    13,576.16x = 148,222,900.74
  5. Step 5: Solve for x
    x = 148,222,900.74/13,576.16
  6. Step 6: Final answer
    x = 10,917.88

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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.