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Finding the Fourth Proportional to 12,792.56, 19,163.42 and 10,006.20

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Solution

The fourth proportional to 12,792.56, 19,163.42 and 10,006.20 is: 14,989.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,792.56 : 19,163.42 = 10,006.20 : x
  2. Step 2: Convert to fraction form
    12,792.56/19,163.42 = 10,006.20/x
  3. Step 3: Cross multiply
    12,792.56x = 19,163.42 × 10,006.20
  4. Step 4: Simplify right side
    12,792.56x = 191,753,013.20
  5. Step 5: Solve for x
    x = 191,753,013.20/12,792.56
  6. Step 6: Final answer
    x = 14,989.42

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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.