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Finding the Fourth Proportional to 21,761.65, 32,644.50 and 7,720.30

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Solution

The fourth proportional to 21,761.65, 32,644.50 and 7,720.30 is: 11,581.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,761.65 : 32,644.50 = 7,720.30 : x
  2. Step 2: Convert to fraction form
    21,761.65/32,644.50 = 7,720.30/x
  3. Step 3: Cross multiply
    21,761.65x = 32,644.50 × 7,720.30
  4. Step 4: Simplify right side
    21,761.65x = 252,025,333.35
  5. Step 5: Solve for x
    x = 252,025,333.35/21,761.65
  6. Step 6: Final answer
    x = 11,581.17

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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.