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Finding the Fourth Proportional to 12,966.80, 17,894.12 and 7,377.80

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Solution

The fourth proportional to 12,966.80, 17,894.12 and 7,377.80 is: 10,181.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,966.80 : 17,894.12 = 7,377.80 : x
  2. Step 2: Convert to fraction form
    12,966.80/17,894.12 = 7,377.80/x
  3. Step 3: Cross multiply
    12,966.80x = 17,894.12 × 7,377.80
  4. Step 4: Simplify right side
    12,966.80x = 132,019,238.54
  5. Step 5: Solve for x
    x = 132,019,238.54/12,966.80
  6. Step 6: Final answer
    x = 10,181.33

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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.