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Finding the Fourth Proportional to 12,402.38, 17,096.32 and 7,613.48

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Solution

The fourth proportional to 12,402.38, 17,096.32 and 7,613.48 is: 10,494.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,402.38 : 17,096.32 = 7,613.48 : x
  2. Step 2: Convert to fraction form
    12,402.38/17,096.32 = 7,613.48/x
  3. Step 3: Cross multiply
    12,402.38x = 17,096.32 × 7,613.48
  4. Step 4: Simplify right side
    12,402.38x = 130,162,490.39
  5. Step 5: Solve for x
    x = 130,162,490.39/12,402.38
  6. Step 6: Final answer
    x = 10,494.96

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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.