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Finding the Fourth Proportional to 14,771.16, 20,377.73 and 9,989.42

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Solution

The fourth proportional to 14,771.16, 20,377.73 and 9,989.42 is: 13,781.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,771.16 : 20,377.73 = 9,989.42 : x
  2. Step 2: Convert to fraction form
    14,771.16/20,377.73 = 9,989.42/x
  3. Step 3: Cross multiply
    14,771.16x = 20,377.73 × 9,989.42
  4. Step 4: Simplify right side
    14,771.16x = 203,561,626.70
  5. Step 5: Solve for x
    x = 203,561,626.70/14,771.16
  6. Step 6: Final answer
    x = 13,781.02

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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.