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Finding the Fourth Proportional to 18,657.38, 25,769.05 and 12,358.82

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Solution

The fourth proportional to 18,657.38, 25,769.05 and 12,358.82 is: 17,069.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,657.38 : 25,769.05 = 12,358.82 : x
  2. Step 2: Convert to fraction form
    18,657.38/25,769.05 = 12,358.82/x
  3. Step 3: Cross multiply
    18,657.38x = 25,769.05 × 12,358.82
  4. Step 4: Simplify right side
    18,657.38x = 318,474,890.78
  5. Step 5: Solve for x
    x = 318,474,890.78/18,657.38
  6. Step 6: Final answer
    x = 17,069.65

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Why These Related Problems?

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