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Finding the Fourth Proportional to 22,612.24, 33,905.92 and 17,962

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Solution

The fourth proportional to 22,612.24, 33,905.92 and 17,962 is: 26,933.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,612.24 : 33,905.92 = 17,962 : x
  2. Step 2: Convert to fraction form
    22,612.24/33,905.92 = 17,962/x
  3. Step 3: Cross multiply
    22,612.24x = 33,905.92 × 17,962
  4. Step 4: Simplify right side
    22,612.24x = 609,018,135.04
  5. Step 5: Solve for x
    x = 609,018,135.04/22,612.24
  6. Step 6: Final answer
    x = 26,933.12

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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.