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Finding the Fourth Proportional to 20,310.30, 30,462.30 and 7,159.59

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Solution

The fourth proportional to 20,310.30, 30,462.30 and 7,159.59 is: 10,738.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,310.30 : 30,462.30 = 7,159.59 : x
  2. Step 2: Convert to fraction form
    20,310.30/30,462.30 = 7,159.59/x
  3. Step 3: Cross multiply
    20,310.30x = 30,462.30 × 7,159.59
  4. Step 4: Simplify right side
    20,310.30x = 218,097,578.46
  5. Step 5: Solve for x
    x = 218,097,578.46/20,310.30
  6. Step 6: Final answer
    x = 10,738.27

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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.