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Finding the Fourth Proportional to 13,657.18, 20,483.49 and 3,797.46

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Solution

The fourth proportional to 13,657.18, 20,483.49 and 3,797.46 is: 5,695.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,657.18 : 20,483.49 = 3,797.46 : x
  2. Step 2: Convert to fraction form
    13,657.18/20,483.49 = 3,797.46/x
  3. Step 3: Cross multiply
    13,657.18x = 20,483.49 × 3,797.46
  4. Step 4: Simplify right side
    13,657.18x = 77,785,233.94
  5. Step 5: Solve for x
    x = 77,785,233.94/13,657.18
  6. Step 6: Final answer
    x = 5,695.56

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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.