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Finding the Fourth Proportional to 21,701, 29,943.78 and 13,633.40

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Solution

The fourth proportional to 21,701, 29,943.78 and 13,633.40 is: 18,811.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,701 : 29,943.78 = 13,633.40 : x
  2. Step 2: Convert to fraction form
    21,701/29,943.78 = 13,633.40/x
  3. Step 3: Cross multiply
    21,701x = 29,943.78 × 13,633.40
  4. Step 4: Simplify right side
    21,701x = 408,235,530.25
  5. Step 5: Solve for x
    x = 408,235,530.25/21,701
  6. Step 6: Final answer
    x = 18,811.83

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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.