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Finding the Fourth Proportional to 14,505.72, 20,019 and 8,132.90

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Solution

The fourth proportional to 14,505.72, 20,019 and 8,132.90 is: 11,224.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,505.72 : 20,019 = 8,132.90 : x
  2. Step 2: Convert to fraction form
    14,505.72/20,019 = 8,132.90/x
  3. Step 3: Cross multiply
    14,505.72x = 20,019 × 8,132.90
  4. Step 4: Simplify right side
    14,505.72x = 162,812,425.01
  5. Step 5: Solve for x
    x = 162,812,425.01/14,505.72
  6. Step 6: Final answer
    x = 11,224.02

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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.