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Finding the Fourth Proportional to 21,257.97, 29,335.19 and 11,697.29

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Solution

The fourth proportional to 21,257.97, 29,335.19 and 11,697.29 is: 16,141.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,257.97 : 29,335.19 = 11,697.29 : x
  2. Step 2: Convert to fraction form
    21,257.97/29,335.19 = 11,697.29/x
  3. Step 3: Cross multiply
    21,257.97x = 29,335.19 × 11,697.29
  4. Step 4: Simplify right side
    21,257.97x = 343,142,079.87
  5. Step 5: Solve for x
    x = 343,142,079.87/21,257.97
  6. Step 6: Final answer
    x = 16,141.81

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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.