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Finding the Fourth Proportional to 12,196.41, 16,831.06 and 6,607.41

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Solution

The fourth proportional to 12,196.41, 16,831.06 and 6,607.41 is: 9,118.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,196.41 : 16,831.06 = 6,607.41 : x
  2. Step 2: Convert to fraction form
    12,196.41/16,831.06 = 6,607.41/x
  3. Step 3: Cross multiply
    12,196.41x = 16,831.06 × 6,607.41
  4. Step 4: Simplify right side
    12,196.41x = 111,209,634.52
  5. Step 5: Solve for x
    x = 111,209,634.52/12,196.41
  6. Step 6: Final answer
    x = 9,118.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.