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Finding the Fourth Proportional to 12,782.26, 19,178.15 and 5,760.17

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Solution

The fourth proportional to 12,782.26, 19,178.15 and 5,760.17 is: 8,642.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,782.26 : 19,178.15 = 5,760.17 : x
  2. Step 2: Convert to fraction form
    12,782.26/19,178.15 = 5,760.17/x
  3. Step 3: Cross multiply
    12,782.26x = 19,178.15 × 5,760.17
  4. Step 4: Simplify right side
    12,782.26x = 110,469,404.29
  5. Step 5: Solve for x
    x = 110,469,404.29/12,782.26
  6. Step 6: Final answer
    x = 8,642.40

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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.