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Finding the Fourth Proportional to 12,586.14, 17,369.31 and 6,921.12

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Solution

The fourth proportional to 12,586.14, 17,369.31 and 6,921.12 is: 9,551.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,586.14 : 17,369.31 = 6,921.12 : x
  2. Step 2: Convert to fraction form
    12,586.14/17,369.31 = 6,921.12/x
  3. Step 3: Cross multiply
    12,586.14x = 17,369.31 × 6,921.12
  4. Step 4: Simplify right side
    12,586.14x = 120,215,078.83
  5. Step 5: Solve for x
    x = 120,215,078.83/12,586.14
  6. Step 6: Final answer
    x = 9,551.39

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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.