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Finding the Fourth Proportional to 23,456.82, 35,179.06 and 6,812.38

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Solution

The fourth proportional to 23,456.82, 35,179.06 and 6,812.38 is: 10,216.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,456.82 : 35,179.06 = 6,812.38 : x
  2. Step 2: Convert to fraction form
    23,456.82/35,179.06 = 6,812.38/x
  3. Step 3: Cross multiply
    23,456.82x = 35,179.06 × 6,812.38
  4. Step 4: Simplify right side
    23,456.82x = 239,653,124.76
  5. Step 5: Solve for x
    x = 239,653,124.76/23,456.82
  6. Step 6: Final answer
    x = 10,216.78

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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.