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Finding the Fourth Proportional to 17,928.74, 26,884.75 and 6,828.50

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Solution

The fourth proportional to 17,928.74, 26,884.75 and 6,828.50 is: 10,239.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,928.74 : 26,884.75 = 6,828.50 : x
  2. Step 2: Convert to fraction form
    17,928.74/26,884.75 = 6,828.50/x
  3. Step 3: Cross multiply
    17,928.74x = 26,884.75 × 6,828.50
  4. Step 4: Simplify right side
    17,928.74x = 183,582,380.95
  5. Step 5: Solve for x
    x = 183,582,380.95/17,928.74
  6. Step 6: Final answer
    x = 10,239.56

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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.