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Finding the Fourth Proportional to 19,964.40, 27,549.89 and 12,005.09

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Solution

The fourth proportional to 19,964.40, 27,549.89 and 12,005.09 is: 16,566.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,964.40 : 27,549.89 = 12,005.09 : x
  2. Step 2: Convert to fraction form
    19,964.40/27,549.89 = 12,005.09/x
  3. Step 3: Cross multiply
    19,964.40x = 27,549.89 × 12,005.09
  4. Step 4: Simplify right side
    19,964.40x = 330,738,711.17
  5. Step 5: Solve for x
    x = 330,738,711.17/19,964.40
  6. Step 6: Final answer
    x = 16,566.42

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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.