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Finding the Fourth Proportional to 17,822.30, 26,736.90 and 5,342.06

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Solution

The fourth proportional to 17,822.30, 26,736.90 and 5,342.06 is: 8,014.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,822.30 : 26,736.90 = 5,342.06 : x
  2. Step 2: Convert to fraction form
    17,822.30/26,736.90 = 5,342.06/x
  3. Step 3: Cross multiply
    17,822.30x = 26,736.90 × 5,342.06
  4. Step 4: Simplify right side
    17,822.30x = 142,830,124.01
  5. Step 5: Solve for x
    x = 142,830,124.01/17,822.30
  6. Step 6: Final answer
    x = 8,014.12

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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.