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Finding the Fourth Proportional to 17,409.82, 24,025.20 and 9,856

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Solution

The fourth proportional to 17,409.82, 24,025.20 and 9,856 is: 13,601.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,409.82 : 24,025.20 = 9,856 : x
  2. Step 2: Convert to fraction form
    17,409.82/24,025.20 = 9,856/x
  3. Step 3: Cross multiply
    17,409.82x = 24,025.20 × 9,856
  4. Step 4: Simplify right side
    17,409.82x = 236,792,371.20
  5. Step 5: Solve for x
    x = 236,792,371.20/17,409.82
  6. Step 6: Final answer
    x = 13,601.08

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Why These Related Problems?

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