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Finding the Fourth Proportional to 20,365.16, 30,538.55 and 7,214.54

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Solution

The fourth proportional to 20,365.16, 30,538.55 and 7,214.54 is: 10,818.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,365.16 : 30,538.55 = 7,214.54 : x
  2. Step 2: Convert to fraction form
    20,365.16/30,538.55 = 7,214.54/x
  3. Step 3: Cross multiply
    20,365.16x = 30,538.55 × 7,214.54
  4. Step 4: Simplify right side
    20,365.16x = 220,321,455.86
  5. Step 5: Solve for x
    x = 220,321,455.86/20,365.16
  6. Step 6: Final answer
    x = 10,818.55

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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.