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Finding the Fourth Proportional to 16,865.61, 25,293.79 and 6,334.82

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Solution

The fourth proportional to 16,865.61, 25,293.79 and 6,334.82 is: 9,500.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,865.61 : 25,293.79 = 6,334.82 : x
  2. Step 2: Convert to fraction form
    16,865.61/25,293.79 = 6,334.82/x
  3. Step 3: Cross multiply
    16,865.61x = 25,293.79 × 6,334.82
  4. Step 4: Simplify right side
    16,865.61x = 160,231,480.30
  5. Step 5: Solve for x
    x = 160,231,480.30/16,865.61
  6. Step 6: Final answer
    x = 9,500.49

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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.