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Finding the Fourth Proportional to 12,780.86, 19,171.29 and 4,016.54

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Solution

The fourth proportional to 12,780.86, 19,171.29 and 4,016.54 is: 6,024.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,780.86 : 19,171.29 = 4,016.54 : x
  2. Step 2: Convert to fraction form
    12,780.86/19,171.29 = 4,016.54/x
  3. Step 3: Cross multiply
    12,780.86x = 19,171.29 × 4,016.54
  4. Step 4: Simplify right side
    12,780.86x = 77,002,253.14
  5. Step 5: Solve for x
    x = 77,002,253.14/12,780.86
  6. Step 6: Final answer
    x = 6,024.81

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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.