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Finding the Fourth Proportional to 20,214.59, 30,327.35 and 11,455.65

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Solution

The fourth proportional to 20,214.59, 30,327.35 and 11,455.65 is: 17,186.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,214.59 : 30,327.35 = 11,455.65 : x
  2. Step 2: Convert to fraction form
    20,214.59/30,327.35 = 11,455.65/x
  3. Step 3: Cross multiply
    20,214.59x = 30,327.35 × 11,455.65
  4. Step 4: Simplify right side
    20,214.59x = 347,419,582.85
  5. Step 5: Solve for x
    x = 347,419,582.85/20,214.59
  6. Step 6: Final answer
    x = 17,186.58

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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.