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Finding the Fourth Proportional to 21,993.84, 32,981.49 and 7,194.60

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Solution

The fourth proportional to 21,993.84, 32,981.49 and 7,194.60 is: 10,788.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,993.84 : 32,981.49 = 7,194.60 : x
  2. Step 2: Convert to fraction form
    21,993.84/32,981.49 = 7,194.60/x
  3. Step 3: Cross multiply
    21,993.84x = 32,981.49 × 7,194.60
  4. Step 4: Simplify right side
    21,993.84x = 237,288,627.95
  5. Step 5: Solve for x
    x = 237,288,627.95/21,993.84
  6. Step 6: Final answer
    x = 10,788.87

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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.