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Finding the Fourth Proportional to 19,298.31, 28,951.91 and 8,205.36

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Solution

The fourth proportional to 19,298.31, 28,951.91 and 8,205.36 is: 12,309.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,298.31 : 28,951.91 = 8,205.36 : x
  2. Step 2: Convert to fraction form
    19,298.31/28,951.91 = 8,205.36/x
  3. Step 3: Cross multiply
    19,298.31x = 28,951.91 × 8,205.36
  4. Step 4: Simplify right side
    19,298.31x = 237,560,844.24
  5. Step 5: Solve for x
    x = 237,560,844.24/19,298.31
  6. Step 6: Final answer
    x = 12,309.93

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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.