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Finding the Fourth Proportional to 12,782.70, 19,170.54 and 8,095.68

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Solution

The fourth proportional to 12,782.70, 19,170.54 and 8,095.68 is: 12,141.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,782.70 : 19,170.54 = 8,095.68 : x
  2. Step 2: Convert to fraction form
    12,782.70/19,170.54 = 8,095.68/x
  3. Step 3: Cross multiply
    12,782.70x = 19,170.54 × 8,095.68
  4. Step 4: Simplify right side
    12,782.70x = 155,198,557.27
  5. Step 5: Solve for x
    x = 155,198,557.27/12,782.70
  6. Step 6: Final answer
    x = 12,141.30

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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.