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Finding the Fourth Proportional to 12,144.45, 16,759.31 and 7,109.61

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Solution

The fourth proportional to 12,144.45, 16,759.31 and 7,109.61 is: 9,811.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,144.45 : 16,759.31 = 7,109.61 : x
  2. Step 2: Convert to fraction form
    12,144.45/16,759.31 = 7,109.61/x
  3. Step 3: Cross multiply
    12,144.45x = 16,759.31 × 7,109.61
  4. Step 4: Simplify right side
    12,144.45x = 119,152,122.42
  5. Step 5: Solve for x
    x = 119,152,122.42/12,144.45
  6. Step 6: Final answer
    x = 9,811.24

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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.