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Finding the Fourth Proportional to 13,780.75, 19,019.04 and 7,732.66

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Solution

The fourth proportional to 13,780.75, 19,019.04 and 7,732.66 is: 10,671.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,780.75 : 19,019.04 = 7,732.66 : x
  2. Step 2: Convert to fraction form
    13,780.75/19,019.04 = 7,732.66/x
  3. Step 3: Cross multiply
    13,780.75x = 19,019.04 × 7,732.66
  4. Step 4: Simplify right side
    13,780.75x = 147,067,769.85
  5. Step 5: Solve for x
    x = 147,067,769.85/13,780.75
  6. Step 6: Final answer
    x = 10,671.97

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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.