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Finding the Fourth Proportional to 17,453.91, 24,091.34 and 10,287.98

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Solution

The fourth proportional to 17,453.91, 24,091.34 and 10,287.98 is: 14,200.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,453.91 : 24,091.34 = 10,287.98 : x
  2. Step 2: Convert to fraction form
    17,453.91/24,091.34 = 10,287.98/x
  3. Step 3: Cross multiply
    17,453.91x = 24,091.34 × 10,287.98
  4. Step 4: Simplify right side
    17,453.91x = 247,851,349.15
  5. Step 5: Solve for x
    x = 247,851,349.15/17,453.91
  6. Step 6: Final answer
    x = 14,200.33

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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.