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Finding the Fourth Proportional to 11,974.84, 16,508.16 and 8,427.04

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Solution

The fourth proportional to 11,974.84, 16,508.16 and 8,427.04 is: 11,617.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,974.84 : 16,508.16 = 8,427.04 : x
  2. Step 2: Convert to fraction form
    11,974.84/16,508.16 = 8,427.04/x
  3. Step 3: Cross multiply
    11,974.84x = 16,508.16 × 8,427.04
  4. Step 4: Simplify right side
    11,974.84x = 139,114,924.65
  5. Step 5: Solve for x
    x = 139,114,924.65/11,974.84
  6. Step 6: Final answer
    x = 11,617.27

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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.