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Finding the Fourth Proportional to 13,488.32, 18,616.80 and 8,519.36

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Solution

The fourth proportional to 13,488.32, 18,616.80 and 8,519.36 is: 11,758.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,488.32 : 18,616.80 = 8,519.36 : x
  2. Step 2: Convert to fraction form
    13,488.32/18,616.80 = 8,519.36/x
  3. Step 3: Cross multiply
    13,488.32x = 18,616.80 × 8,519.36
  4. Step 4: Simplify right side
    13,488.32x = 158,603,221.25
  5. Step 5: Solve for x
    x = 158,603,221.25/13,488.32
  6. Step 6: Final answer
    x = 11,758.56

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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.