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Finding the Fourth Proportional to 21,633.75, 29,854.04 and 12,201.57

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Solution

The fourth proportional to 21,633.75, 29,854.04 and 12,201.57 is: 16,837.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,633.75 : 29,854.04 = 12,201.57 : x
  2. Step 2: Convert to fraction form
    21,633.75/29,854.04 = 12,201.57/x
  3. Step 3: Cross multiply
    21,633.75x = 29,854.04 × 12,201.57
  4. Step 4: Simplify right side
    21,633.75x = 364,266,097.83
  5. Step 5: Solve for x
    x = 364,266,097.83/21,633.75
  6. Step 6: Final answer
    x = 16,837.86

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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.