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Finding the Fourth Proportional to 20,809.10, 31,213.80 and 8,330.19

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Solution

The fourth proportional to 20,809.10, 31,213.80 and 8,330.19 is: 12,495.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,809.10 : 31,213.80 = 8,330.19 : x
  2. Step 2: Convert to fraction form
    20,809.10/31,213.80 = 8,330.19/x
  3. Step 3: Cross multiply
    20,809.10x = 31,213.80 × 8,330.19
  4. Step 4: Simplify right side
    20,809.10x = 260,016,884.62
  5. Step 5: Solve for x
    x = 260,016,884.62/20,809.10
  6. Step 6: Final answer
    x = 12,495.35

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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.