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Finding the Fourth Proportional to 17,218.42, 23,761.86 and 9,665.32

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Solution

The fourth proportional to 17,218.42, 23,761.86 and 9,665.32 is: 13,338.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,218.42 : 23,761.86 = 9,665.32 : x
  2. Step 2: Convert to fraction form
    17,218.42/23,761.86 = 9,665.32/x
  3. Step 3: Cross multiply
    17,218.42x = 23,761.86 × 9,665.32
  4. Step 4: Simplify right side
    17,218.42x = 229,665,980.70
  5. Step 5: Solve for x
    x = 229,665,980.70/17,218.42
  6. Step 6: Final answer
    x = 13,338.39

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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.