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Finding the Fourth Proportional to 13,897.68, 20,851.32 and 8,697.36

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Solution

The fourth proportional to 13,897.68, 20,851.32 and 8,697.36 is: 13,049.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,897.68 : 20,851.32 = 8,697.36 : x
  2. Step 2: Convert to fraction form
    13,897.68/20,851.32 = 8,697.36/x
  3. Step 3: Cross multiply
    13,897.68x = 20,851.32 × 8,697.36
  4. Step 4: Simplify right side
    13,897.68x = 181,351,436.52
  5. Step 5: Solve for x
    x = 181,351,436.52/13,897.68
  6. Step 6: Final answer
    x = 13,049.04

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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.