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Finding the Fourth Proportional to 12,484.13, 17,228.09 and 7,178.83

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Solution

The fourth proportional to 12,484.13, 17,228.09 and 7,178.83 is: 9,906.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,484.13 : 17,228.09 = 7,178.83 : x
  2. Step 2: Convert to fraction form
    12,484.13/17,228.09 = 7,178.83/x
  3. Step 3: Cross multiply
    12,484.13x = 17,228.09 × 7,178.83
  4. Step 4: Simplify right side
    12,484.13x = 123,677,504.21
  5. Step 5: Solve for x
    x = 123,677,504.21/12,484.13
  6. Step 6: Final answer
    x = 9,906.78

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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.