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Finding the Fourth Proportional to 12,179.97, 16,808.04 and 6,802.26

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Solution

The fourth proportional to 12,179.97, 16,808.04 and 6,802.26 is: 9,386.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,179.97 : 16,808.04 = 6,802.26 : x
  2. Step 2: Convert to fraction form
    12,179.97/16,808.04 = 6,802.26/x
  3. Step 3: Cross multiply
    12,179.97x = 16,808.04 × 6,802.26
  4. Step 4: Simplify right side
    12,179.97x = 114,332,658.17
  5. Step 5: Solve for x
    x = 114,332,658.17/12,179.97
  6. Step 6: Final answer
    x = 9,386.94

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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.