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Finding the Fourth Proportional to 14,771.38, 22,157.07 and 5,412.64

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Solution

The fourth proportional to 14,771.38, 22,157.07 and 5,412.64 is: 8,118.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,771.38 : 22,157.07 = 5,412.64 : x
  2. Step 2: Convert to fraction form
    14,771.38/22,157.07 = 5,412.64/x
  3. Step 3: Cross multiply
    14,771.38x = 22,157.07 × 5,412.64
  4. Step 4: Simplify right side
    14,771.38x = 119,928,243.36
  5. Step 5: Solve for x
    x = 119,928,243.36/14,771.38
  6. Step 6: Final answer
    x = 8,118.96

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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.