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Finding the Fourth Proportional to 20,682.30, 31,023.45 and 12,809.10

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Solution

The fourth proportional to 20,682.30, 31,023.45 and 12,809.10 is: 19,213.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,682.30 : 31,023.45 = 12,809.10 : x
  2. Step 2: Convert to fraction form
    20,682.30/31,023.45 = 12,809.10/x
  3. Step 3: Cross multiply
    20,682.30x = 31,023.45 × 12,809.10
  4. Step 4: Simplify right side
    20,682.30x = 397,382,473.40
  5. Step 5: Solve for x
    x = 397,382,473.40/20,682.30
  6. Step 6: Final answer
    x = 19,213.65

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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.