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Finding the Fourth Proportional to 13,923.90, 20,865.47 and 7,982.55

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Solution

The fourth proportional to 13,923.90, 20,865.47 and 7,982.55 is: 11,962.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,923.90 : 20,865.47 = 7,982.55 : x
  2. Step 2: Convert to fraction form
    13,923.90/20,865.47 = 7,982.55/x
  3. Step 3: Cross multiply
    13,923.90x = 20,865.47 × 7,982.55
  4. Step 4: Simplify right side
    13,923.90x = 166,559,617.64
  5. Step 5: Solve for x
    x = 166,559,617.64/13,923.90
  6. Step 6: Final answer
    x = 11,962.14

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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.