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Finding the Fourth Proportional to 20,384.10, 30,565.08 and 6,339.78

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Solution

The fourth proportional to 20,384.10, 30,565.08 and 6,339.78 is: 9,506.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,384.10 : 30,565.08 = 6,339.78 : x
  2. Step 2: Convert to fraction form
    20,384.10/30,565.08 = 6,339.78/x
  3. Step 3: Cross multiply
    20,384.10x = 30,565.08 × 6,339.78
  4. Step 4: Simplify right side
    20,384.10x = 193,775,882.88
  5. Step 5: Solve for x
    x = 193,775,882.88/20,384.10
  6. Step 6: Final answer
    x = 9,506.23

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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.