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Finding the Fourth Proportional to 20,891.32, 31,320.54 and 10,354.10

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Solution

The fourth proportional to 20,891.32, 31,320.54 and 10,354.10 is: 15,523.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,891.32 : 31,320.54 = 10,354.10 : x
  2. Step 2: Convert to fraction form
    20,891.32/31,320.54 = 10,354.10/x
  3. Step 3: Cross multiply
    20,891.32x = 31,320.54 × 10,354.10
  4. Step 4: Simplify right side
    20,891.32x = 324,296,003.21
  5. Step 5: Solve for x
    x = 324,296,003.21/20,891.32
  6. Step 6: Final answer
    x = 15,523.00

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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.