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Finding the Fourth Proportional to 17,031.34, 23,499.70 and 9,956.38

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Solution

The fourth proportional to 17,031.34, 23,499.70 and 9,956.38 is: 13,737.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,031.34 : 23,499.70 = 9,956.38 : x
  2. Step 2: Convert to fraction form
    17,031.34/23,499.70 = 9,956.38/x
  3. Step 3: Cross multiply
    17,031.34x = 23,499.70 × 9,956.38
  4. Step 4: Simplify right side
    17,031.34x = 233,971,943.09
  5. Step 5: Solve for x
    x = 233,971,943.09/17,031.34
  6. Step 6: Final answer
    x = 13,737.73

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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.