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Finding the Fourth Proportional to 13,436.60, 20,138.70 and 6,859.40

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Solution

The fourth proportional to 13,436.60, 20,138.70 and 6,859.40 is: 10,280.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,436.60 : 20,138.70 = 6,859.40 : x
  2. Step 2: Convert to fraction form
    13,436.60/20,138.70 = 6,859.40/x
  3. Step 3: Cross multiply
    13,436.60x = 20,138.70 × 6,859.40
  4. Step 4: Simplify right side
    13,436.60x = 138,139,398.78
  5. Step 5: Solve for x
    x = 138,139,398.78/13,436.60
  6. Step 6: Final answer
    x = 10,280.83

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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.