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Finding the Fourth Proportional to 21,933.84, 32,902.85 and 6,138.88

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Solution

The fourth proportional to 21,933.84, 32,902.85 and 6,138.88 is: 9,208.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,933.84 : 32,902.85 = 6,138.88 : x
  2. Step 2: Convert to fraction form
    21,933.84/32,902.85 = 6,138.88/x
  3. Step 3: Cross multiply
    21,933.84x = 32,902.85 × 6,138.88
  4. Step 4: Simplify right side
    21,933.84x = 201,986,647.81
  5. Step 5: Solve for x
    x = 201,986,647.81/21,933.84
  6. Step 6: Final answer
    x = 9,208.90

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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.