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Finding the Fourth Proportional to 21,642.31, 29,866.41 and 12,211.75

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Solution

The fourth proportional to 21,642.31, 29,866.41 and 12,211.75 is: 16,852.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,642.31 : 29,866.41 = 12,211.75 : x
  2. Step 2: Convert to fraction form
    21,642.31/29,866.41 = 12,211.75/x
  3. Step 3: Cross multiply
    21,642.31x = 29,866.41 × 12,211.75
  4. Step 4: Simplify right side
    21,642.31x = 364,720,982.99
  5. Step 5: Solve for x
    x = 364,720,982.99/21,642.31
  6. Step 6: Final answer
    x = 16,852.22

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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.