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Finding the Fourth Proportional to 20,179.70, 30,262.35 and 7,696.46

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Solution

The fourth proportional to 20,179.70, 30,262.35 and 7,696.46 is: 11,541.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,179.70 : 30,262.35 = 7,696.46 : x
  2. Step 2: Convert to fraction form
    20,179.70/30,262.35 = 7,696.46/x
  3. Step 3: Cross multiply
    20,179.70x = 30,262.35 × 7,696.46
  4. Step 4: Simplify right side
    20,179.70x = 232,912,966.28
  5. Step 5: Solve for x
    x = 232,912,966.28/20,179.70
  6. Step 6: Final answer
    x = 11,541.94

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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.