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Finding the Fourth Proportional to 16,301.38, 22,494.50 and 9,494.34

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Solution

The fourth proportional to 16,301.38, 22,494.50 and 9,494.34 is: 13,101.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,301.38 : 22,494.50 = 9,494.34 : x
  2. Step 2: Convert to fraction form
    16,301.38/22,494.50 = 9,494.34/x
  3. Step 3: Cross multiply
    16,301.38x = 22,494.50 × 9,494.34
  4. Step 4: Simplify right side
    16,301.38x = 213,570,431.13
  5. Step 5: Solve for x
    x = 213,570,431.13/16,301.38
  6. Step 6: Final answer
    x = 13,101.37

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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.