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Finding the Fourth Proportional to 20,609.52, 30,914.82 and 5,820

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Solution

The fourth proportional to 20,609.52, 30,914.82 and 5,820 is: 8,730.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,609.52 : 30,914.82 = 5,820 : x
  2. Step 2: Convert to fraction form
    20,609.52/30,914.82 = 5,820/x
  3. Step 3: Cross multiply
    20,609.52x = 30,914.82 × 5,820
  4. Step 4: Simplify right side
    20,609.52x = 179,924,252.40
  5. Step 5: Solve for x
    x = 179,924,252.40/20,609.52
  6. Step 6: Final answer
    x = 8,730.15

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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.