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Finding the Fourth Proportional to 16,858.76, 25,291.38 and 6,469.70

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Solution

The fourth proportional to 16,858.76, 25,291.38 and 6,469.70 is: 9,705.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,858.76 : 25,291.38 = 6,469.70 : x
  2. Step 2: Convert to fraction form
    16,858.76/25,291.38 = 6,469.70/x
  3. Step 3: Cross multiply
    16,858.76x = 25,291.38 × 6,469.70
  4. Step 4: Simplify right side
    16,858.76x = 163,627,514.73
  5. Step 5: Solve for x
    x = 163,627,514.73/16,858.76
  6. Step 6: Final answer
    x = 9,705.79

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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.