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Finding the Fourth Proportional to 21,311.72, 31,969.02 and 10,220.84

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Solution

The fourth proportional to 21,311.72, 31,969.02 and 10,220.84 is: 15,331.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,311.72 : 31,969.02 = 10,220.84 : x
  2. Step 2: Convert to fraction form
    21,311.72/31,969.02 = 10,220.84/x
  3. Step 3: Cross multiply
    21,311.72x = 31,969.02 × 10,220.84
  4. Step 4: Simplify right side
    21,311.72x = 326,750,238.38
  5. Step 5: Solve for x
    x = 326,750,238.38/21,311.72
  6. Step 6: Final answer
    x = 15,331.95

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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.