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Finding the Fourth Proportional to 17,224.92, 23,765.22 and 10,148.76

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Solution

The fourth proportional to 17,224.92, 23,765.22 and 10,148.76 is: 14,002.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,224.92 : 23,765.22 = 10,148.76 : x
  2. Step 2: Convert to fraction form
    17,224.92/23,765.22 = 10,148.76/x
  3. Step 3: Cross multiply
    17,224.92x = 23,765.22 × 10,148.76
  4. Step 4: Simplify right side
    17,224.92x = 241,187,514.13
  5. Step 5: Solve for x
    x = 241,187,514.13/17,224.92
  6. Step 6: Final answer
    x = 14,002.24

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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.