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Finding the Fourth Proportional to 12,282.54, 16,949.92 and 6,693.54

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Solution

The fourth proportional to 12,282.54, 16,949.92 and 6,693.54 is: 9,237.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,282.54 : 16,949.92 = 6,693.54 : x
  2. Step 2: Convert to fraction form
    12,282.54/16,949.92 = 6,693.54/x
  3. Step 3: Cross multiply
    12,282.54x = 16,949.92 × 6,693.54
  4. Step 4: Simplify right side
    12,282.54x = 113,454,967.52
  5. Step 5: Solve for x
    x = 113,454,967.52/12,282.54
  6. Step 6: Final answer
    x = 9,237.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.