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Finding the Fourth Proportional to 13,185.62, 19,785.74 and 5,399.90

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Solution

The fourth proportional to 13,185.62, 19,785.74 and 5,399.90 is: 8,102.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,185.62 : 19,785.74 = 5,399.90 : x
  2. Step 2: Convert to fraction form
    13,185.62/19,785.74 = 5,399.90/x
  3. Step 3: Cross multiply
    13,185.62x = 19,785.74 × 5,399.90
  4. Step 4: Simplify right side
    13,185.62x = 106,840,891.50
  5. Step 5: Solve for x
    x = 106,840,891.50/13,185.62
  6. Step 6: Final answer
    x = 8,102.84

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Why These Related Problems?

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