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Finding the Fourth Proportional to 17,311.38, 23,889.80 and 10,145.52

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Solution

The fourth proportional to 17,311.38, 23,889.80 and 10,145.52 is: 14,000.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,311.38 : 23,889.80 = 10,145.52 : x
  2. Step 2: Convert to fraction form
    17,311.38/23,889.80 = 10,145.52/x
  3. Step 3: Cross multiply
    17,311.38x = 23,889.80 × 10,145.52
  4. Step 4: Simplify right side
    17,311.38x = 242,374,443.70
  5. Step 5: Solve for x
    x = 242,374,443.70/17,311.38
  6. Step 6: Final answer
    x = 14,000.87

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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.