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Finding the Fourth Proportional to 15,415.31, 23,122.97 and 5,027.06

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Solution

The fourth proportional to 15,415.31, 23,122.97 and 5,027.06 is: 7,540.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,415.31 : 23,122.97 = 5,027.06 : x
  2. Step 2: Convert to fraction form
    15,415.31/23,122.97 = 5,027.06/x
  3. Step 3: Cross multiply
    15,415.31x = 23,122.97 × 5,027.06
  4. Step 4: Simplify right side
    15,415.31x = 116,240,609.09
  5. Step 5: Solve for x
    x = 116,240,609.09/15,415.31
  6. Step 6: Final answer
    x = 7,540.59

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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.