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Finding the Fourth Proportional to 21,424.30, 29,565.21 and 11,993.20

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Solution

The fourth proportional to 21,424.30, 29,565.21 and 11,993.20 is: 16,550.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,424.30 : 29,565.21 = 11,993.20 : x
  2. Step 2: Convert to fraction form
    21,424.30/29,565.21 = 11,993.20/x
  3. Step 3: Cross multiply
    21,424.30x = 29,565.21 × 11,993.20
  4. Step 4: Simplify right side
    21,424.30x = 354,581,476.57
  5. Step 5: Solve for x
    x = 354,581,476.57/21,424.30
  6. Step 6: Final answer
    x = 16,550.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.