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Finding the Fourth Proportional to 13,644.92, 20,465.08 and 3,785.20

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Solution

The fourth proportional to 13,644.92, 20,465.08 and 3,785.20 is: 5,677.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,644.92 : 20,465.08 = 3,785.20 : x
  2. Step 2: Convert to fraction form
    13,644.92/20,465.08 = 3,785.20/x
  3. Step 3: Cross multiply
    13,644.92x = 20,465.08 × 3,785.20
  4. Step 4: Simplify right side
    13,644.92x = 77,464,420.82
  5. Step 5: Solve for x
    x = 77,464,420.82/13,644.92
  6. Step 6: Final answer
    x = 5,677.16

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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.