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Finding the Fourth Proportional to 17,378.50, 26,002.14 and 10,773.76

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Solution

The fourth proportional to 17,378.50, 26,002.14 and 10,773.76 is: 16,119.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,378.50 : 26,002.14 = 10,773.76 : x
  2. Step 2: Convert to fraction form
    17,378.50/26,002.14 = 10,773.76/x
  3. Step 3: Cross multiply
    17,378.50x = 26,002.14 × 10,773.76
  4. Step 4: Simplify right side
    17,378.50x = 280,140,815.85
  5. Step 5: Solve for x
    x = 280,140,815.85/17,378.50
  6. Step 6: Final answer
    x = 16,119.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.