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Finding the Fourth Proportional to 21,617.70, 32,428.22 and 8,297.07

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Solution

The fourth proportional to 21,617.70, 32,428.22 and 8,297.07 is: 12,446.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,617.70 : 32,428.22 = 8,297.07 : x
  2. Step 2: Convert to fraction form
    21,617.70/32,428.22 = 8,297.07/x
  3. Step 3: Cross multiply
    21,617.70x = 32,428.22 × 8,297.07
  4. Step 4: Simplify right side
    21,617.70x = 269,059,048.22
  5. Step 5: Solve for x
    x = 269,059,048.22/21,617.70
  6. Step 6: Final answer
    x = 12,446.24

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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.