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Finding the Fourth Proportional to 12,782.52, 19,173.78 and 3,422.61

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Solution

The fourth proportional to 12,782.52, 19,173.78 and 3,422.61 is: 5,133.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,782.52 : 19,173.78 = 3,422.61 : x
  2. Step 2: Convert to fraction form
    12,782.52/19,173.78 = 3,422.61/x
  3. Step 3: Cross multiply
    12,782.52x = 19,173.78 × 3,422.61
  4. Step 4: Simplify right side
    12,782.52x = 65,624,371.17
  5. Step 5: Solve for x
    x = 65,624,371.17/12,782.52
  6. Step 6: Final answer
    x = 5,133.92

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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.