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Finding the Fourth Proportional to 13,876.14, 20,825.14 and 5,117.21

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Solution

The fourth proportional to 13,876.14, 20,825.14 and 5,117.21 is: 7,679.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,876.14 : 20,825.14 = 5,117.21 : x
  2. Step 2: Convert to fraction form
    13,876.14/20,825.14 = 5,117.21/x
  3. Step 3: Cross multiply
    13,876.14x = 20,825.14 × 5,117.21
  4. Step 4: Simplify right side
    13,876.14x = 106,566,510.53
  5. Step 5: Solve for x
    x = 106,566,510.53/13,876.14
  6. Step 6: Final answer
    x = 7,679.84

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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.