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Finding the Fourth Proportional to 13,974.72, 19,284.26 and 8,005.02

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Solution

The fourth proportional to 13,974.72, 19,284.26 and 8,005.02 is: 11,046.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,974.72 : 19,284.26 = 8,005.02 : x
  2. Step 2: Convert to fraction form
    13,974.72/19,284.26 = 8,005.02/x
  3. Step 3: Cross multiply
    13,974.72x = 19,284.26 × 8,005.02
  4. Step 4: Simplify right side
    13,974.72x = 154,370,846.96
  5. Step 5: Solve for x
    x = 154,370,846.96/13,974.72
  6. Step 6: Final answer
    x = 11,046.44

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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.