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Finding the Fourth Proportional to 20,767.44, 31,151 and 5,184.96

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Solution

The fourth proportional to 20,767.44, 31,151 and 5,184.96 is: 7,777.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,767.44 : 31,151 = 5,184.96 : x
  2. Step 2: Convert to fraction form
    20,767.44/31,151 = 5,184.96/x
  3. Step 3: Cross multiply
    20,767.44x = 31,151 × 5,184.96
  4. Step 4: Simplify right side
    20,767.44x = 161,516,688.96
  5. Step 5: Solve for x
    x = 161,516,688.96/20,767.44
  6. Step 6: Final answer
    x = 7,777.40

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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.