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Finding the Fourth Proportional to 12,780.92, 19,174.45 and 4,015.83

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Solution

The fourth proportional to 12,780.92, 19,174.45 and 4,015.83 is: 6,024.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,780.92 : 19,174.45 = 4,015.83 : x
  2. Step 2: Convert to fraction form
    12,780.92/19,174.45 = 4,015.83/x
  3. Step 3: Cross multiply
    12,780.92x = 19,174.45 × 4,015.83
  4. Step 4: Simplify right side
    12,780.92x = 77,001,331.54
  5. Step 5: Solve for x
    x = 77,001,331.54/12,780.92
  6. Step 6: Final answer
    x = 6,024.71

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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.