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Finding the Fourth Proportional to 14,106.72, 19,468.08 and 8,519.52

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Solution

The fourth proportional to 14,106.72, 19,468.08 and 8,519.52 is: 11,757.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,106.72 : 19,468.08 = 8,519.52 : x
  2. Step 2: Convert to fraction form
    14,106.72/19,468.08 = 8,519.52/x
  3. Step 3: Cross multiply
    14,106.72x = 19,468.08 × 8,519.52
  4. Step 4: Simplify right side
    14,106.72x = 165,858,696.92
  5. Step 5: Solve for x
    x = 165,858,696.92/14,106.72
  6. Step 6: Final answer
    x = 11,757.42

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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.