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Finding the Fourth Proportional to 12,904.01, 17,801.39 and 8,180.09

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Solution

The fourth proportional to 12,904.01, 17,801.39 and 8,180.09 is: 11,284.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,904.01 : 17,801.39 = 8,180.09 : x
  2. Step 2: Convert to fraction form
    12,904.01/17,801.39 = 8,180.09/x
  3. Step 3: Cross multiply
    12,904.01x = 17,801.39 × 8,180.09
  4. Step 4: Simplify right side
    12,904.01x = 145,616,842.42
  5. Step 5: Solve for x
    x = 145,616,842.42/12,904.01
  6. Step 6: Final answer
    x = 11,284.62

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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.