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Finding the Fourth Proportional to 12,182.71, 16,812.18 and 6,593.71

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Solution

The fourth proportional to 12,182.71, 16,812.18 and 6,593.71 is: 9,099.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,182.71 : 16,812.18 = 6,593.71 : x
  2. Step 2: Convert to fraction form
    12,182.71/16,812.18 = 6,593.71/x
  3. Step 3: Cross multiply
    12,182.71x = 16,812.18 × 6,593.71
  4. Step 4: Simplify right side
    12,182.71x = 110,854,639.39
  5. Step 5: Solve for x
    x = 110,854,639.39/12,182.71
  6. Step 6: Final answer
    x = 9,099.34

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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.