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Finding the Fourth Proportional to 17,382.72, 23,992.80 and 10,314.24

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Solution

The fourth proportional to 17,382.72, 23,992.80 and 10,314.24 is: 14,236.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,382.72 : 23,992.80 = 10,314.24 : x
  2. Step 2: Convert to fraction form
    17,382.72/23,992.80 = 10,314.24/x
  3. Step 3: Cross multiply
    17,382.72x = 23,992.80 × 10,314.24
  4. Step 4: Simplify right side
    17,382.72x = 247,467,497.47
  5. Step 5: Solve for x
    x = 247,467,497.47/17,382.72
  6. Step 6: Final answer
    x = 14,236.41

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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.