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Finding the Fourth Proportional to 13,121.14, 19,678.80 and 3,761.14

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Solution

The fourth proportional to 13,121.14, 19,678.80 and 3,761.14 is: 5,640.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,121.14 : 19,678.80 = 3,761.14 : x
  2. Step 2: Convert to fraction form
    13,121.14/19,678.80 = 3,761.14/x
  3. Step 3: Cross multiply
    13,121.14x = 19,678.80 × 3,761.14
  4. Step 4: Simplify right side
    13,121.14x = 74,014,721.83
  5. Step 5: Solve for x
    x = 74,014,721.83/13,121.14
  6. Step 6: Final answer
    x = 5,640.88

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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.