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Finding the Fourth Proportional to 12,151, 16,767.12 and 7,114.96

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Solution

The fourth proportional to 12,151, 16,767.12 and 7,114.96 is: 9,817.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,151 : 16,767.12 = 7,114.96 : x
  2. Step 2: Convert to fraction form
    12,151/16,767.12 = 7,114.96/x
  3. Step 3: Cross multiply
    12,151x = 16,767.12 × 7,114.96
  4. Step 4: Simplify right side
    12,151x = 119,297,388.12
  5. Step 5: Solve for x
    x = 119,297,388.12/12,151
  6. Step 6: Final answer
    x = 9,817.91

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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.