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Finding the Fourth Proportional to 17,507.70, 26,257.55 and 5,027.63

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Solution

The fourth proportional to 17,507.70, 26,257.55 and 5,027.63 is: 7,540.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,507.70 : 26,257.55 = 5,027.63 : x
  2. Step 2: Convert to fraction form
    17,507.70/26,257.55 = 5,027.63/x
  3. Step 3: Cross multiply
    17,507.70x = 26,257.55 × 5,027.63
  4. Step 4: Simplify right side
    17,507.70x = 132,013,089.68
  5. Step 5: Solve for x
    x = 132,013,089.68/17,507.70
  6. Step 6: Final answer
    x = 7,540.29

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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.