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Finding the Fourth Proportional to 17,127.34, 23,634.70 and 9,956.72

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Solution

The fourth proportional to 17,127.34, 23,634.70 and 9,956.72 is: 13,739.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,127.34 : 23,634.70 = 9,956.72 : x
  2. Step 2: Convert to fraction form
    17,127.34/23,634.70 = 9,956.72/x
  3. Step 3: Cross multiply
    17,127.34x = 23,634.70 × 9,956.72
  4. Step 4: Simplify right side
    17,127.34x = 235,324,124.38
  5. Step 5: Solve for x
    x = 235,324,124.38/17,127.34
  6. Step 6: Final answer
    x = 13,739.68

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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.