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Finding the Fourth Proportional to 17,822.62, 26,737.62 and 5,342.14

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Solution

The fourth proportional to 17,822.62, 26,737.62 and 5,342.14 is: 8,014.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,822.62 : 26,737.62 = 5,342.14 : x
  2. Step 2: Convert to fraction form
    17,822.62/26,737.62 = 5,342.14/x
  3. Step 3: Cross multiply
    17,822.62x = 26,737.62 × 5,342.14
  4. Step 4: Simplify right side
    17,822.62x = 142,836,109.31
  5. Step 5: Solve for x
    x = 142,836,109.31/17,822.62
  6. Step 6: Final answer
    x = 8,014.32

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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.