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Finding the Fourth Proportional to 12,106.53, 16,705.46 and 7,067.12

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Solution

The fourth proportional to 12,106.53, 16,705.46 and 7,067.12 is: 9,751.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,106.53 : 16,705.46 = 7,067.12 : x
  2. Step 2: Convert to fraction form
    12,106.53/16,705.46 = 7,067.12/x
  3. Step 3: Cross multiply
    12,106.53x = 16,705.46 × 7,067.12
  4. Step 4: Simplify right side
    12,106.53x = 118,059,371.61
  5. Step 5: Solve for x
    x = 118,059,371.61/12,106.53
  6. Step 6: Final answer
    x = 9,751.71

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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.