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Finding the Fourth Proportional to 20,482.16, 30,723.22 and 6,443.42

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Solution

The fourth proportional to 20,482.16, 30,723.22 and 6,443.42 is: 9,665.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,482.16 : 30,723.22 = 6,443.42 : x
  2. Step 2: Convert to fraction form
    20,482.16/30,723.22 = 6,443.42/x
  3. Step 3: Cross multiply
    20,482.16x = 30,723.22 × 6,443.42
  4. Step 4: Simplify right side
    20,482.16x = 197,962,610.21
  5. Step 5: Solve for x
    x = 197,962,610.21/20,482.16
  6. Step 6: Final answer
    x = 9,665.12

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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.