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Finding the Fourth Proportional to 15,853.40, 23,773.09 and 4,757.96

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Solution

The fourth proportional to 15,853.40, 23,773.09 and 4,757.96 is: 7,134.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,853.40 : 23,773.09 = 4,757.96 : x
  2. Step 2: Convert to fraction form
    15,853.40/23,773.09 = 4,757.96/x
  3. Step 3: Cross multiply
    15,853.40x = 23,773.09 × 4,757.96
  4. Step 4: Simplify right side
    15,853.40x = 113,111,268.64
  5. Step 5: Solve for x
    x = 113,111,268.64/15,853.40
  6. Step 6: Final answer
    x = 7,134.83

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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.