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Finding the Fourth Proportional to 20,861.28, 31,294.80 and 7,014.24

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Solution

The fourth proportional to 20,861.28, 31,294.80 and 7,014.24 is: 10,522.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,861.28 : 31,294.80 = 7,014.24 : x
  2. Step 2: Convert to fraction form
    20,861.28/31,294.80 = 7,014.24/x
  3. Step 3: Cross multiply
    20,861.28x = 31,294.80 × 7,014.24
  4. Step 4: Simplify right side
    20,861.28x = 219,509,237.95
  5. Step 5: Solve for x
    x = 219,509,237.95/20,861.28
  6. Step 6: Final answer
    x = 10,522.33

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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.