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Finding the Fourth Proportional to 13,519.64, 20,267.71 and 6,496.13

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Solution

The fourth proportional to 13,519.64, 20,267.71 and 6,496.13 is: 9,738.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,519.64 : 20,267.71 = 6,496.13 : x
  2. Step 2: Convert to fraction form
    13,519.64/20,267.71 = 6,496.13/x
  3. Step 3: Cross multiply
    13,519.64x = 20,267.71 × 6,496.13
  4. Step 4: Simplify right side
    13,519.64x = 131,661,678.96
  5. Step 5: Solve for x
    x = 131,661,678.96/13,519.64
  6. Step 6: Final answer
    x = 9,738.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.