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Finding the Fourth Proportional to 21,633.40, 29,853.75 and 12,201.76

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Solution

The fourth proportional to 21,633.40, 29,853.75 and 12,201.76 is: 16,838.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,633.40 : 29,853.75 = 12,201.76 : x
  2. Step 2: Convert to fraction form
    21,633.40/29,853.75 = 12,201.76/x
  3. Step 3: Cross multiply
    21,633.40x = 29,853.75 × 12,201.76
  4. Step 4: Simplify right side
    21,633.40x = 364,268,292.60
  5. Step 5: Solve for x
    x = 364,268,292.60/21,633.40
  6. Step 6: Final answer
    x = 16,838.24

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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.