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Finding the Fourth Proportional to 17,035.40, 23,509.14 and 9,481.88

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Solution

The fourth proportional to 17,035.40, 23,509.14 and 9,481.88 is: 13,085.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,035.40 : 23,509.14 = 9,481.88 : x
  2. Step 2: Convert to fraction form
    17,035.40/23,509.14 = 9,481.88/x
  3. Step 3: Cross multiply
    17,035.40x = 23,509.14 × 9,481.88
  4. Step 4: Simplify right side
    17,035.40x = 222,910,844.38
  5. Step 5: Solve for x
    x = 222,910,844.38/17,035.40
  6. Step 6: Final answer
    x = 13,085.15

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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.