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Finding the Fourth Proportional to 21,548.43, 32,323.05 and 5,965.92

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Solution

The fourth proportional to 21,548.43, 32,323.05 and 5,965.92 is: 8,948.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,548.43 : 32,323.05 = 5,965.92 : x
  2. Step 2: Convert to fraction form
    21,548.43/32,323.05 = 5,965.92/x
  3. Step 3: Cross multiply
    21,548.43x = 32,323.05 × 5,965.92
  4. Step 4: Simplify right side
    21,548.43x = 192,836,730.46
  5. Step 5: Solve for x
    x = 192,836,730.46/21,548.43
  6. Step 6: Final answer
    x = 8,948.99

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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.