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Finding the Fourth Proportional to 21,838.68, 32,757.93 and 6,256.31

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Solution

The fourth proportional to 21,838.68, 32,757.93 and 6,256.31 is: 9,384.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,838.68 : 32,757.93 = 6,256.31 : x
  2. Step 2: Convert to fraction form
    21,838.68/32,757.93 = 6,256.31/x
  3. Step 3: Cross multiply
    21,838.68x = 32,757.93 × 6,256.31
  4. Step 4: Simplify right side
    21,838.68x = 204,943,601.25
  5. Step 5: Solve for x
    x = 204,943,601.25/21,838.68
  6. Step 6: Final answer
    x = 9,384.43

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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.