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Finding the Fourth Proportional to 16,114.88, 22,239.24 and 10,144.28

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Solution

The fourth proportional to 16,114.88, 22,239.24 and 10,144.28 is: 13,999.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,114.88 : 22,239.24 = 10,144.28 : x
  2. Step 2: Convert to fraction form
    16,114.88/22,239.24 = 10,144.28/x
  3. Step 3: Cross multiply
    16,114.88x = 22,239.24 × 10,144.28
  4. Step 4: Simplify right side
    16,114.88x = 225,601,077.55
  5. Step 5: Solve for x
    x = 225,601,077.55/16,114.88
  6. Step 6: Final answer
    x = 13,999.55

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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.