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Finding the Fourth Proportional to 21,568, 29,766.72 and 14,120.32

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Solution

The fourth proportional to 21,568, 29,766.72 and 14,120.32 is: 19,487.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,568 : 29,766.72 = 14,120.32 : x
  2. Step 2: Convert to fraction form
    21,568/29,766.72 = 14,120.32/x
  3. Step 3: Cross multiply
    21,568x = 29,766.72 × 14,120.32
  4. Step 4: Simplify right side
    21,568x = 420,315,611.75
  5. Step 5: Solve for x
    x = 420,315,611.75/21,568
  6. Step 6: Final answer
    x = 19,487.93

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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.