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Finding the Fourth Proportional to 17,353, 23,950.38 and 9,901

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Solution

The fourth proportional to 17,353, 23,950.38 and 9,901 is: 13,665.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,353 : 23,950.38 = 9,901 : x
  2. Step 2: Convert to fraction form
    17,353/23,950.38 = 9,901/x
  3. Step 3: Cross multiply
    17,353x = 23,950.38 × 9,901
  4. Step 4: Simplify right side
    17,353x = 237,132,712.38
  5. Step 5: Solve for x
    x = 237,132,712.38/17,353
  6. Step 6: Final answer
    x = 13,665.23

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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.