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Finding the Fourth Proportional to 20,052.69, 27,678.87 and 11,560.50

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Solution

The fourth proportional to 20,052.69, 27,678.87 and 11,560.50 is: 15,957.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,052.69 : 27,678.87 = 11,560.50 : x
  2. Step 2: Convert to fraction form
    20,052.69/27,678.87 = 11,560.50/x
  3. Step 3: Cross multiply
    20,052.69x = 27,678.87 × 11,560.50
  4. Step 4: Simplify right side
    20,052.69x = 319,981,576.64
  5. Step 5: Solve for x
    x = 319,981,576.64/20,052.69
  6. Step 6: Final answer
    x = 15,957.04

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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.