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Finding the Fourth Proportional to 20,137.74, 30,206.62 and 7,654.82

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Solution

The fourth proportional to 20,137.74, 30,206.62 and 7,654.82 is: 11,482.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,137.74 : 30,206.62 = 7,654.82 : x
  2. Step 2: Convert to fraction form
    20,137.74/30,206.62 = 7,654.82/x
  3. Step 3: Cross multiply
    20,137.74x = 30,206.62 × 7,654.82
  4. Step 4: Simplify right side
    20,137.74x = 231,226,238.91
  5. Step 5: Solve for x
    x = 231,226,238.91/20,137.74
  6. Step 6: Final answer
    x = 11,482.23

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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.