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Finding the Fourth Proportional to 19,138.24, 28,708.08 and 6,826.24

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Solution

The fourth proportional to 19,138.24, 28,708.08 and 6,826.24 is: 10,239.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,138.24 : 28,708.08 = 6,826.24 : x
  2. Step 2: Convert to fraction form
    19,138.24/28,708.08 = 6,826.24/x
  3. Step 3: Cross multiply
    19,138.24x = 28,708.08 × 6,826.24
  4. Step 4: Simplify right side
    19,138.24x = 195,968,244.02
  5. Step 5: Solve for x
    x = 195,968,244.02/19,138.24
  6. Step 6: Final answer
    x = 10,239.62

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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.