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Finding the Fourth Proportional to 21,086.84, 31,639.01 and 9,234.49

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Solution

The fourth proportional to 21,086.84, 31,639.01 and 9,234.49 is: 13,855.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,086.84 : 31,639.01 = 9,234.49 : x
  2. Step 2: Convert to fraction form
    21,086.84/31,639.01 = 9,234.49/x
  3. Step 3: Cross multiply
    21,086.84x = 31,639.01 × 9,234.49
  4. Step 4: Simplify right side
    21,086.84x = 292,170,121.45
  5. Step 5: Solve for x
    x = 292,170,121.45/21,086.84
  6. Step 6: Final answer
    x = 13,855.57

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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.