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Finding the Fourth Proportional to 20,254.10, 30,382.07 and 6,213.11

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Solution

The fourth proportional to 20,254.10, 30,382.07 and 6,213.11 is: 9,319.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,254.10 : 30,382.07 = 6,213.11 : x
  2. Step 2: Convert to fraction form
    20,254.10/30,382.07 = 6,213.11/x
  3. Step 3: Cross multiply
    20,254.10x = 30,382.07 × 6,213.11
  4. Step 4: Simplify right side
    20,254.10x = 188,767,111.87
  5. Step 5: Solve for x
    x = 188,767,111.87/20,254.10
  6. Step 6: Final answer
    x = 9,319.95

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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.