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Finding the Fourth Proportional to 20,383, 30,575.40 and 5,591.58

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Solution

The fourth proportional to 20,383, 30,575.40 and 5,591.58 is: 8,387.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,383 : 30,575.40 = 5,591.58 : x
  2. Step 2: Convert to fraction form
    20,383/30,575.40 = 5,591.58/x
  3. Step 3: Cross multiply
    20,383x = 30,575.40 × 5,591.58
  4. Step 4: Simplify right side
    20,383x = 170,964,795.13
  5. Step 5: Solve for x
    x = 170,964,795.13/20,383
  6. Step 6: Final answer
    x = 8,387.62

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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.