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Finding the Fourth Proportional to 12,400.87, 17,113.38 and 6,735.73

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Solution

The fourth proportional to 12,400.87, 17,113.38 and 6,735.73 is: 9,295.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,400.87 : 17,113.38 = 6,735.73 : x
  2. Step 2: Convert to fraction form
    12,400.87/17,113.38 = 6,735.73/x
  3. Step 3: Cross multiply
    12,400.87x = 17,113.38 × 6,735.73
  4. Step 4: Simplify right side
    12,400.87x = 115,271,034.71
  5. Step 5: Solve for x
    x = 115,271,034.71/12,400.87
  6. Step 6: Final answer
    x = 9,295.40

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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.