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Finding the Fourth Proportional to 17,822.39, 26,738.06 and 5,342.40

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Solution

The fourth proportional to 17,822.39, 26,738.06 and 5,342.40 is: 8,014.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,822.39 : 26,738.06 = 5,342.40 : x
  2. Step 2: Convert to fraction form
    17,822.39/26,738.06 = 5,342.40/x
  3. Step 3: Cross multiply
    17,822.39x = 26,738.06 × 5,342.40
  4. Step 4: Simplify right side
    17,822.39x = 142,845,385.03
  5. Step 5: Solve for x
    x = 142,845,385.03/17,822.39
  6. Step 6: Final answer
    x = 8,014.94

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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.