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Finding the Fourth Proportional to 16,107, 22,222.80 and 10,144.59

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Solution

The fourth proportional to 16,107, 22,222.80 and 10,144.59 is: 13,996.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,107 : 22,222.80 = 10,144.59 : x
  2. Step 2: Convert to fraction form
    16,107/22,222.80 = 10,144.59/x
  3. Step 3: Cross multiply
    16,107x = 22,222.80 × 10,144.59
  4. Step 4: Simplify right side
    16,107x = 225,441,194.65
  5. Step 5: Solve for x
    x = 225,441,194.65/16,107
  6. Step 6: Final answer
    x = 13,996.47

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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.