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Finding the Fourth Proportional to 21,520.50, 32,281.97 and 7,669.50

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Solution

The fourth proportional to 21,520.50, 32,281.97 and 7,669.50 is: 11,504.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,520.50 : 32,281.97 = 7,669.50 : x
  2. Step 2: Convert to fraction form
    21,520.50/32,281.97 = 7,669.50/x
  3. Step 3: Cross multiply
    21,520.50x = 32,281.97 × 7,669.50
  4. Step 4: Simplify right side
    21,520.50x = 247,586,568.92
  5. Step 5: Solve for x
    x = 247,586,568.92/21,520.50
  6. Step 6: Final answer
    x = 11,504.68

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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.