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Finding the Fourth Proportional to 20,461.62, 30,691.53 and 6,421.32

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Solution

The fourth proportional to 20,461.62, 30,691.53 and 6,421.32 is: 9,631.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,461.62 : 30,691.53 = 6,421.32 : x
  2. Step 2: Convert to fraction form
    20,461.62/30,691.53 = 6,421.32/x
  3. Step 3: Cross multiply
    20,461.62x = 30,691.53 × 6,421.32
  4. Step 4: Simplify right side
    20,461.62x = 197,080,135.42
  5. Step 5: Solve for x
    x = 197,080,135.42/20,461.62
  6. Step 6: Final answer
    x = 9,631.70

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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.