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Finding the Fourth Proportional to 17,140.68, 25,704 and 5,450.76

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Solution

The fourth proportional to 17,140.68, 25,704 and 5,450.76 is: 8,173.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,140.68 : 25,704 = 5,450.76 : x
  2. Step 2: Convert to fraction form
    17,140.68/25,704 = 5,450.76/x
  3. Step 3: Cross multiply
    17,140.68x = 25,704 × 5,450.76
  4. Step 4: Simplify right side
    17,140.68x = 140,106,335.04
  5. Step 5: Solve for x
    x = 140,106,335.04/17,140.68
  6. Step 6: Final answer
    x = 8,173.91

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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.