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Finding the Fourth Proportional to 20,731.80, 31,097.70 and 10,342.20

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Solution

The fourth proportional to 20,731.80, 31,097.70 and 10,342.20 is: 15,513.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,731.80 : 31,097.70 = 10,342.20 : x
  2. Step 2: Convert to fraction form
    20,731.80/31,097.70 = 10,342.20/x
  3. Step 3: Cross multiply
    20,731.80x = 31,097.70 × 10,342.20
  4. Step 4: Simplify right side
    20,731.80x = 321,618,632.94
  5. Step 5: Solve for x
    x = 321,618,632.94/20,731.80
  6. Step 6: Final answer
    x = 15,513.30

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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.