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Finding the Fourth Proportional to 12,389.15, 17,100.92 and 7,924.84

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Solution

The fourth proportional to 12,389.15, 17,100.92 and 7,924.84 is: 10,938.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,389.15 : 17,100.92 = 7,924.84 : x
  2. Step 2: Convert to fraction form
    12,389.15/17,100.92 = 7,924.84/x
  3. Step 3: Cross multiply
    12,389.15x = 17,100.92 × 7,924.84
  4. Step 4: Simplify right side
    12,389.15x = 135,522,031.91
  5. Step 5: Solve for x
    x = 135,522,031.91/12,389.15
  6. Step 6: Final answer
    x = 10,938.77

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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.