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Finding the Fourth Proportional to 17,652.24, 26,437.86 and 10,238.31

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Solution

The fourth proportional to 17,652.24, 26,437.86 and 10,238.31 is: 15,333.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,652.24 : 26,437.86 = 10,238.31 : x
  2. Step 2: Convert to fraction form
    17,652.24/26,437.86 = 10,238.31/x
  3. Step 3: Cross multiply
    17,652.24x = 26,437.86 × 10,238.31
  4. Step 4: Simplify right side
    17,652.24x = 270,679,006.42
  5. Step 5: Solve for x
    x = 270,679,006.42/17,652.24
  6. Step 6: Final answer
    x = 15,333.97

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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.