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Finding the Fourth Proportional to 21,535.84, 32,302.84 and 6,744.43

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Solution

The fourth proportional to 21,535.84, 32,302.84 and 6,744.43 is: 10,116.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,535.84 : 32,302.84 = 6,744.43 : x
  2. Step 2: Convert to fraction form
    21,535.84/32,302.84 = 6,744.43/x
  3. Step 3: Cross multiply
    21,535.84x = 32,302.84 × 6,744.43
  4. Step 4: Simplify right side
    21,535.84x = 217,864,243.18
  5. Step 5: Solve for x
    x = 217,864,243.18/21,535.84
  6. Step 6: Final answer
    x = 10,116.36

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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.