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Finding the Fourth Proportional to 14,589.62, 20,132.53 and 8,214.97

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Solution

The fourth proportional to 14,589.62, 20,132.53 and 8,214.97 is: 11,336.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,589.62 : 20,132.53 = 8,214.97 : x
  2. Step 2: Convert to fraction form
    14,589.62/20,132.53 = 8,214.97/x
  3. Step 3: Cross multiply
    14,589.62x = 20,132.53 × 8,214.97
  4. Step 4: Simplify right side
    14,589.62x = 165,388,088.90
  5. Step 5: Solve for x
    x = 165,388,088.90/14,589.62
  6. Step 6: Final answer
    x = 11,336.01

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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.