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Finding the Fourth Proportional to 20,386, 30,583.39 and 6,345.73

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Solution

The fourth proportional to 20,386, 30,583.39 and 6,345.73 is: 9,519.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,386 : 30,583.39 = 6,345.73 : x
  2. Step 2: Convert to fraction form
    20,386/30,583.39 = 6,345.73/x
  3. Step 3: Cross multiply
    20,386x = 30,583.39 × 6,345.73
  4. Step 4: Simplify right side
    20,386x = 194,073,935.42
  5. Step 5: Solve for x
    x = 194,073,935.42/20,386
  6. Step 6: Final answer
    x = 9,519.96

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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.