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Finding the Fourth Proportional to 12,195.40, 16,829.62 and 6,606.36

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Solution

The fourth proportional to 12,195.40, 16,829.62 and 6,606.36 is: 9,116.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,195.40 : 16,829.62 = 6,606.36 : x
  2. Step 2: Convert to fraction form
    12,195.40/16,829.62 = 6,606.36/x
  3. Step 3: Cross multiply
    12,195.40x = 16,829.62 × 6,606.36
  4. Step 4: Simplify right side
    12,195.40x = 111,182,528.38
  5. Step 5: Solve for x
    x = 111,182,528.38/12,195.40
  6. Step 6: Final answer
    x = 9,116.76

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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.