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Finding the Fourth Proportional to 16,816.78, 25,202.49 and 6,422.86

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Solution

The fourth proportional to 16,816.78, 25,202.49 and 6,422.86 is: 9,625.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,816.78 : 25,202.49 = 6,422.86 : x
  2. Step 2: Convert to fraction form
    16,816.78/25,202.49 = 6,422.86/x
  3. Step 3: Cross multiply
    16,816.78x = 25,202.49 × 6,422.86
  4. Step 4: Simplify right side
    16,816.78x = 161,872,064.92
  5. Step 5: Solve for x
    x = 161,872,064.92/16,816.78
  6. Step 6: Final answer
    x = 9,625.63

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