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Finding the Fourth Proportional to 13,923.36, 20,885.04 and 6,993

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Solution

The fourth proportional to 13,923.36, 20,885.04 and 6,993 is: 10,489.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,923.36 : 20,885.04 = 6,993 : x
  2. Step 2: Convert to fraction form
    13,923.36/20,885.04 = 6,993/x
  3. Step 3: Cross multiply
    13,923.36x = 20,885.04 × 6,993
  4. Step 4: Simplify right side
    13,923.36x = 146,049,084.72
  5. Step 5: Solve for x
    x = 146,049,084.72/13,923.36
  6. Step 6: Final answer
    x = 10,489.50

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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.