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Finding the Fourth Proportional to 21,791.95, 32,688.23 and 6,209.57

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Solution

The fourth proportional to 21,791.95, 32,688.23 and 6,209.57 is: 9,314.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,791.95 : 32,688.23 = 6,209.57 : x
  2. Step 2: Convert to fraction form
    21,791.95/32,688.23 = 6,209.57/x
  3. Step 3: Cross multiply
    21,791.95x = 32,688.23 × 6,209.57
  4. Step 4: Simplify right side
    21,791.95x = 202,979,903.03
  5. Step 5: Solve for x
    x = 202,979,903.03/21,791.95
  6. Step 6: Final answer
    x = 9,314.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.