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Finding the Fourth Proportional to 12,196.82, 16,831.95 and 6,891.53

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Solution

The fourth proportional to 12,196.82, 16,831.95 and 6,891.53 is: 9,510.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,196.82 : 16,831.95 = 6,891.53 : x
  2. Step 2: Convert to fraction form
    12,196.82/16,831.95 = 6,891.53/x
  3. Step 3: Cross multiply
    12,196.82x = 16,831.95 × 6,891.53
  4. Step 4: Simplify right side
    12,196.82x = 115,997,778.38
  5. Step 5: Solve for x
    x = 115,997,778.38/12,196.82
  6. Step 6: Final answer
    x = 9,510.49

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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.