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Finding the Fourth Proportional to 21,118.31, 29,142.96 and 11,557.97

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Solution

The fourth proportional to 21,118.31, 29,142.96 and 11,557.97 is: 15,949.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,118.31 : 29,142.96 = 11,557.97 : x
  2. Step 2: Convert to fraction form
    21,118.31/29,142.96 = 11,557.97/x
  3. Step 3: Cross multiply
    21,118.31x = 29,142.96 × 11,557.97
  4. Step 4: Simplify right side
    21,118.31x = 336,833,457.39
  5. Step 5: Solve for x
    x = 336,833,457.39/21,118.31
  6. Step 6: Final answer
    x = 15,949.83

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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.