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Finding the Fourth Proportional to 16,144.25, 22,278.03 and 9,431.78

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Solution

The fourth proportional to 16,144.25, 22,278.03 and 9,431.78 is: 13,015.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,144.25 : 22,278.03 = 9,431.78 : x
  2. Step 2: Convert to fraction form
    16,144.25/22,278.03 = 9,431.78/x
  3. Step 3: Cross multiply
    16,144.25x = 22,278.03 × 9,431.78
  4. Step 4: Simplify right side
    16,144.25x = 210,121,366.40
  5. Step 5: Solve for x
    x = 210,121,366.40/16,144.25
  6. Step 6: Final answer
    x = 13,015.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.