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Finding the Fourth Proportional to 17,298.74, 23,872.82 and 10,129.37

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Solution

The fourth proportional to 17,298.74, 23,872.82 and 10,129.37 is: 13,978.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,298.74 : 23,872.82 = 10,129.37 : x
  2. Step 2: Convert to fraction form
    17,298.74/23,872.82 = 10,129.37/x
  3. Step 3: Cross multiply
    17,298.74x = 23,872.82 × 10,129.37
  4. Step 4: Simplify right side
    17,298.74x = 241,816,532.68
  5. Step 5: Solve for x
    x = 241,816,532.68/17,298.74
  6. Step 6: Final answer
    x = 13,978.86

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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.