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Finding the Fourth Proportional to 13,519.78, 18,653.96 and 8,214.28

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Solution

The fourth proportional to 13,519.78, 18,653.96 and 8,214.28 is: 11,333.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,519.78 : 18,653.96 = 8,214.28 : x
  2. Step 2: Convert to fraction form
    13,519.78/18,653.96 = 8,214.28/x
  3. Step 3: Cross multiply
    13,519.78x = 18,653.96 × 8,214.28
  4. Step 4: Simplify right side
    13,519.78x = 153,228,850.55
  5. Step 5: Solve for x
    x = 153,228,850.55/13,519.78
  6. Step 6: Final answer
    x = 11,333.68

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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.