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Finding the Fourth Proportional to 12,921.87, 17,822.86 and 11,863

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Solution

The fourth proportional to 12,921.87, 17,822.86 and 11,863 is: 16,362.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,921.87 : 17,822.86 = 11,863 : x
  2. Step 2: Convert to fraction form
    12,921.87/17,822.86 = 11,863/x
  3. Step 3: Cross multiply
    12,921.87x = 17,822.86 × 11,863
  4. Step 4: Simplify right side
    12,921.87x = 211,432,588.18
  5. Step 5: Solve for x
    x = 211,432,588.18/12,921.87
  6. Step 6: Final answer
    x = 16,362.38

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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.