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Finding the Fourth Proportional to 12,780.70, 19,170.51 and 4,015.42

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Solution

The fourth proportional to 12,780.70, 19,170.51 and 4,015.42 is: 6,022.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,780.70 : 19,170.51 = 4,015.42 : x
  2. Step 2: Convert to fraction form
    12,780.70/19,170.51 = 4,015.42/x
  3. Step 3: Cross multiply
    12,780.70x = 19,170.51 × 4,015.42
  4. Step 4: Simplify right side
    12,780.70x = 76,977,649.26
  5. Step 5: Solve for x
    x = 76,977,649.26/12,780.70
  6. Step 6: Final answer
    x = 6,022.96

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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.