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Finding the Fourth Proportional to 20,812.74, 31,204.46 and 7,663.40

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Solution

The fourth proportional to 20,812.74, 31,204.46 and 7,663.40 is: 11,489.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,812.74 : 31,204.46 = 7,663.40 : x
  2. Step 2: Convert to fraction form
    20,812.74/31,204.46 = 7,663.40/x
  3. Step 3: Cross multiply
    20,812.74x = 31,204.46 × 7,663.40
  4. Step 4: Simplify right side
    20,812.74x = 239,132,258.76
  5. Step 5: Solve for x
    x = 239,132,258.76/20,812.74
  6. Step 6: Final answer
    x = 11,489.71

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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.