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Finding the Fourth Proportional to 21,874.37, 32,773.86 and 17,224.16

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Solution

The fourth proportional to 21,874.37, 32,773.86 and 17,224.16 is: 25,806.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,874.37 : 32,773.86 = 17,224.16 : x
  2. Step 2: Convert to fraction form
    21,874.37/32,773.86 = 17,224.16/x
  3. Step 3: Cross multiply
    21,874.37x = 32,773.86 × 17,224.16
  4. Step 4: Simplify right side
    21,874.37x = 564,502,044.59
  5. Step 5: Solve for x
    x = 564,502,044.59/21,874.37
  6. Step 6: Final answer
    x = 25,806.56

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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.