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Finding the Fourth Proportional to 20,730.40, 31,097.22 and 10,206.07

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Solution

The fourth proportional to 20,730.40, 31,097.22 and 10,206.07 is: 15,309.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,730.40 : 31,097.22 = 10,206.07 : x
  2. Step 2: Convert to fraction form
    20,730.40/31,097.22 = 10,206.07/x
  3. Step 3: Cross multiply
    20,730.40x = 31,097.22 × 10,206.07
  4. Step 4: Simplify right side
    20,730.40x = 317,380,404.13
  5. Step 5: Solve for x
    x = 317,380,404.13/20,730.40
  6. Step 6: Final answer
    x = 15,309.90

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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.