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Finding the Fourth Proportional to 16,678.85, 25,016.12 and 6,289.25

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Solution

The fourth proportional to 16,678.85, 25,016.12 and 6,289.25 is: 9,433.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,678.85 : 25,016.12 = 6,289.25 : x
  2. Step 2: Convert to fraction form
    16,678.85/25,016.12 = 6,289.25/x
  3. Step 3: Cross multiply
    16,678.85x = 25,016.12 × 6,289.25
  4. Step 4: Simplify right side
    16,678.85x = 157,332,601.26
  5. Step 5: Solve for x
    x = 157,332,601.26/16,678.85
  6. Step 6: Final answer
    x = 9,433.06

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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.