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Finding the Fourth Proportional to 20,817.76, 31,225.68 and 7,669.24

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Solution

The fourth proportional to 20,817.76, 31,225.68 and 7,669.24 is: 11,503.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,817.76 : 31,225.68 = 7,669.24 : x
  2. Step 2: Convert to fraction form
    20,817.76/31,225.68 = 7,669.24/x
  3. Step 3: Cross multiply
    20,817.76x = 31,225.68 × 7,669.24
  4. Step 4: Simplify right side
    20,817.76x = 239,477,234.08
  5. Step 5: Solve for x
    x = 239,477,234.08/20,817.76
  6. Step 6: Final answer
    x = 11,503.51

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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.