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Finding the Fourth Proportional to 12,779.38, 19,169.87 and 4,014.62

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Solution

The fourth proportional to 12,779.38, 19,169.87 and 4,014.62 is: 6,022.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,779.38 : 19,169.87 = 4,014.62 : x
  2. Step 2: Convert to fraction form
    12,779.38/19,169.87 = 4,014.62/x
  3. Step 3: Cross multiply
    12,779.38x = 19,169.87 × 4,014.62
  4. Step 4: Simplify right side
    12,779.38x = 76,959,743.50
  5. Step 5: Solve for x
    x = 76,959,743.50/12,779.38
  6. Step 6: Final answer
    x = 6,022.18

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Why These Related Problems?

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