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Finding the Fourth Proportional to 12,389.96, 17,092.14 and 8,201.72

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Solution

The fourth proportional to 12,389.96, 17,092.14 and 8,201.72 is: 11,314.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,389.96 : 17,092.14 = 8,201.72 : x
  2. Step 2: Convert to fraction form
    12,389.96/17,092.14 = 8,201.72/x
  3. Step 3: Cross multiply
    12,389.96x = 17,092.14 × 8,201.72
  4. Step 4: Simplify right side
    12,389.96x = 140,184,946.48
  5. Step 5: Solve for x
    x = 140,184,946.48/12,389.96
  6. Step 6: Final answer
    x = 11,314.40

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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.