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Finding the Fourth Proportional to 13,851.81, 20,740.77 and 7,264.17

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Solution

The fourth proportional to 13,851.81, 20,740.77 and 7,264.17 is: 10,876.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,851.81 : 20,740.77 = 7,264.17 : x
  2. Step 2: Convert to fraction form
    13,851.81/20,740.77 = 7,264.17/x
  3. Step 3: Cross multiply
    13,851.81x = 20,740.77 × 7,264.17
  4. Step 4: Simplify right side
    13,851.81x = 150,664,479.21
  5. Step 5: Solve for x
    x = 150,664,479.21/13,851.81
  6. Step 6: Final answer
    x = 10,876.88

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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.