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Finding the Fourth Proportional to 20,516.16, 30,774.21 and 7,368.54

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Solution

The fourth proportional to 20,516.16, 30,774.21 and 7,368.54 is: 11,052.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,516.16 : 30,774.21 = 7,368.54 : x
  2. Step 2: Convert to fraction form
    20,516.16/30,774.21 = 7,368.54/x
  3. Step 3: Cross multiply
    20,516.16x = 30,774.21 × 7,368.54
  4. Step 4: Simplify right side
    20,516.16x = 226,760,997.35
  5. Step 5: Solve for x
    x = 226,760,997.35/20,516.16
  6. Step 6: Final answer
    x = 11,052.80

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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.