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Finding the Fourth Proportional to 12,196.40, 16,831 and 6,607.36

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Solution

The fourth proportional to 12,196.40, 16,831 and 6,607.36 is: 9,118.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,196.40 : 16,831 = 6,607.36 : x
  2. Step 2: Convert to fraction form
    12,196.40/16,831 = 6,607.36/x
  3. Step 3: Cross multiply
    12,196.40x = 16,831 × 6,607.36
  4. Step 4: Simplify right side
    12,196.40x = 111,208,476.16
  5. Step 5: Solve for x
    x = 111,208,476.16/12,196.40
  6. Step 6: Final answer
    x = 9,118.14

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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.