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Finding the Fourth Proportional to 13,911.84, 19,207.44 and 8,614.44

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Solution

The fourth proportional to 13,911.84, 19,207.44 and 8,614.44 is: 11,893.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,911.84 : 19,207.44 = 8,614.44 : x
  2. Step 2: Convert to fraction form
    13,911.84/19,207.44 = 8,614.44/x
  3. Step 3: Cross multiply
    13,911.84x = 19,207.44 × 8,614.44
  4. Step 4: Simplify right side
    13,911.84x = 165,461,339.43
  5. Step 5: Solve for x
    x = 165,461,339.43/13,911.84
  6. Step 6: Final answer
    x = 11,893.56

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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.