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Finding the Fourth Proportional to 11,874.80, 17,815.80 and 6,677.20

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Solution

The fourth proportional to 11,874.80, 17,815.80 and 6,677.20 is: 10,017.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,874.80 : 17,815.80 = 6,677.20 : x
  2. Step 2: Convert to fraction form
    11,874.80/17,815.80 = 6,677.20/x
  3. Step 3: Cross multiply
    11,874.80x = 17,815.80 × 6,677.20
  4. Step 4: Simplify right side
    11,874.80x = 118,959,659.76
  5. Step 5: Solve for x
    x = 118,959,659.76/11,874.80
  6. Step 6: Final answer
    x = 10,017.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.