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Finding the Fourth Proportional to 13,428.66, 20,145.05 and 6,851.27

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Solution

The fourth proportional to 13,428.66, 20,145.05 and 6,851.27 is: 10,277.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,428.66 : 20,145.05 = 6,851.27 : x
  2. Step 2: Convert to fraction form
    13,428.66/20,145.05 = 6,851.27/x
  3. Step 3: Cross multiply
    13,428.66x = 20,145.05 × 6,851.27
  4. Step 4: Simplify right side
    13,428.66x = 138,019,041.73
  5. Step 5: Solve for x
    x = 138,019,041.73/13,428.66
  6. Step 6: Final answer
    x = 10,277.95

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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.