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Finding the Fourth Proportional to 12,179.67, 16,807.80 and 6,874.53

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Solution

The fourth proportional to 12,179.67, 16,807.80 and 6,874.53 is: 9,486.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,179.67 : 16,807.80 = 6,874.53 : x
  2. Step 2: Convert to fraction form
    12,179.67/16,807.80 = 6,874.53/x
  3. Step 3: Cross multiply
    12,179.67x = 16,807.80 × 6,874.53
  4. Step 4: Simplify right side
    12,179.67x = 115,545,725.33
  5. Step 5: Solve for x
    x = 115,545,725.33/12,179.67
  6. Step 6: Final answer
    x = 9,486.77

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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.