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Finding the Fourth Proportional to 18,680, 25,778.81 and 10,296.50

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Solution

The fourth proportional to 18,680, 25,778.81 and 10,296.50 is: 14,209.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,680 : 25,778.81 = 10,296.50 : x
  2. Step 2: Convert to fraction form
    18,680/25,778.81 = 10,296.50/x
  3. Step 3: Cross multiply
    18,680x = 25,778.81 × 10,296.50
  4. Step 4: Simplify right side
    18,680x = 265,431,517.17
  5. Step 5: Solve for x
    x = 265,431,517.17/18,680
  6. Step 6: Final answer
    x = 14,209.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.