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Finding the Fourth Proportional to 16,678.68, 25,023.78 and 6,296.28

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Solution

The fourth proportional to 16,678.68, 25,023.78 and 6,296.28 is: 9,446.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,678.68 : 25,023.78 = 6,296.28 : x
  2. Step 2: Convert to fraction form
    16,678.68/25,023.78 = 6,296.28/x
  3. Step 3: Cross multiply
    16,678.68x = 25,023.78 × 6,296.28
  4. Step 4: Simplify right side
    16,678.68x = 157,556,725.54
  5. Step 5: Solve for x
    x = 157,556,725.54/16,678.68
  6. Step 6: Final answer
    x = 9,446.59

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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.