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Finding the Fourth Proportional to 21,551.33, 32,323.32 and 5,965.31

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Solution

The fourth proportional to 21,551.33, 32,323.32 and 5,965.31 is: 8,946.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,551.33 : 32,323.32 = 5,965.31 : x
  2. Step 2: Convert to fraction form
    21,551.33/32,323.32 = 5,965.31/x
  3. Step 3: Cross multiply
    21,551.33x = 32,323.32 × 5,965.31
  4. Step 4: Simplify right side
    21,551.33x = 192,818,704.84
  5. Step 5: Solve for x
    x = 192,818,704.84/21,551.33
  6. Step 6: Final answer
    x = 8,946.95

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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.