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Finding the Fourth Proportional to 16,858.51, 25,287.78 and 5,765.31

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Solution

The fourth proportional to 16,858.51, 25,287.78 and 5,765.31 is: 8,647.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,858.51 : 25,287.78 = 5,765.31 : x
  2. Step 2: Convert to fraction form
    16,858.51/25,287.78 = 5,765.31/x
  3. Step 3: Cross multiply
    16,858.51x = 25,287.78 × 5,765.31
  4. Step 4: Simplify right side
    16,858.51x = 145,791,890.91
  5. Step 5: Solve for x
    x = 145,791,890.91/16,858.51
  6. Step 6: Final answer
    x = 8,647.97

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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.