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Finding the Fourth Proportional to 21,981.72, 32,952.60 and 8,121

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Solution

The fourth proportional to 21,981.72, 32,952.60 and 8,121 is: 12,174.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,981.72 : 32,952.60 = 8,121 : x
  2. Step 2: Convert to fraction form
    21,981.72/32,952.60 = 8,121/x
  3. Step 3: Cross multiply
    21,981.72x = 32,952.60 × 8,121
  4. Step 4: Simplify right side
    21,981.72x = 267,608,064.60
  5. Step 5: Solve for x
    x = 267,608,064.60/21,981.72
  6. Step 6: Final answer
    x = 12,174.12

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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.