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Finding the Fourth Proportional to 21,122.56, 29,168.49 and 13,582

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Solution

The fourth proportional to 21,122.56, 29,168.49 and 13,582 is: 18,755.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,122.56 : 29,168.49 = 13,582 : x
  2. Step 2: Convert to fraction form
    21,122.56/29,168.49 = 13,582/x
  3. Step 3: Cross multiply
    21,122.56x = 29,168.49 × 13,582
  4. Step 4: Simplify right side
    21,122.56x = 396,166,431.18
  5. Step 5: Solve for x
    x = 396,166,431.18/21,122.56
  6. Step 6: Final answer
    x = 18,755.61

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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.