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Finding the Fourth Proportional to 17,412.82, 24,029.34 and 10,243.50

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Solution

The fourth proportional to 17,412.82, 24,029.34 and 10,243.50 is: 14,135.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,412.82 : 24,029.34 = 10,243.50 : x
  2. Step 2: Convert to fraction form
    17,412.82/24,029.34 = 10,243.50/x
  3. Step 3: Cross multiply
    17,412.82x = 24,029.34 × 10,243.50
  4. Step 4: Simplify right side
    17,412.82x = 246,144,544.29
  5. Step 5: Solve for x
    x = 246,144,544.29/17,412.82
  6. Step 6: Final answer
    x = 14,135.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.