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Finding the Fourth Proportional to 19,689, 29,542.20 and 10,326.78

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Solution

The fourth proportional to 19,689, 29,542.20 and 10,326.78 is: 15,494.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,689 : 29,542.20 = 10,326.78 : x
  2. Step 2: Convert to fraction form
    19,689/29,542.20 = 10,326.78/x
  3. Step 3: Cross multiply
    19,689x = 29,542.20 × 10,326.78
  4. Step 4: Simplify right side
    19,689x = 305,075,800.12
  5. Step 5: Solve for x
    x = 305,075,800.12/19,689
  6. Step 6: Final answer
    x = 15,494.73

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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.