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Finding the Fourth Proportional to 20,138.45, 30,203.55 and 7,654.10

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Solution

The fourth proportional to 20,138.45, 30,203.55 and 7,654.10 is: 11,479.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,138.45 : 30,203.55 = 7,654.10 : x
  2. Step 2: Convert to fraction form
    20,138.45/30,203.55 = 7,654.10/x
  3. Step 3: Cross multiply
    20,138.45x = 30,203.55 × 7,654.10
  4. Step 4: Simplify right side
    20,138.45x = 231,180,841.04
  5. Step 5: Solve for x
    x = 231,180,841.04/20,138.45
  6. Step 6: Final answer
    x = 11,479.58

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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.