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Finding the Fourth Proportional to 12,779.10, 19,144.89 and 6,940.62

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Solution

The fourth proportional to 12,779.10, 19,144.89 and 6,940.62 is: 10,398.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,779.10 : 19,144.89 = 6,940.62 : x
  2. Step 2: Convert to fraction form
    12,779.10/19,144.89 = 6,940.62/x
  3. Step 3: Cross multiply
    12,779.10x = 19,144.89 × 6,940.62
  4. Step 4: Simplify right side
    12,779.10x = 132,877,406.43
  5. Step 5: Solve for x
    x = 132,877,406.43/12,779.10
  6. Step 6: Final answer
    x = 10,398.03

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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.