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Finding the Fourth Proportional to 21,910.24, 32,862.12 and 8,056

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Solution

The fourth proportional to 21,910.24, 32,862.12 and 8,056 is: 12,082.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,910.24 : 32,862.12 = 8,056 : x
  2. Step 2: Convert to fraction form
    21,910.24/32,862.12 = 8,056/x
  3. Step 3: Cross multiply
    21,910.24x = 32,862.12 × 8,056
  4. Step 4: Simplify right side
    21,910.24x = 264,737,238.72
  5. Step 5: Solve for x
    x = 264,737,238.72/21,910.24
  6. Step 6: Final answer
    x = 12,082.81

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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.