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Finding the Fourth Proportional to 13,643.40, 20,465.10 and 8,686.20

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Solution

The fourth proportional to 13,643.40, 20,465.10 and 8,686.20 is: 13,029.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,643.40 : 20,465.10 = 8,686.20 : x
  2. Step 2: Convert to fraction form
    13,643.40/20,465.10 = 8,686.20/x
  3. Step 3: Cross multiply
    13,643.40x = 20,465.10 × 8,686.20
  4. Step 4: Simplify right side
    13,643.40x = 177,763,951.62
  5. Step 5: Solve for x
    x = 177,763,951.62/13,643.40
  6. Step 6: Final answer
    x = 13,029.30

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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.