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Finding the Fourth Proportional to 20,316.06, 30,470.94 and 7,841.94

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Solution

The fourth proportional to 20,316.06, 30,470.94 and 7,841.94 is: 11,761.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,316.06 : 30,470.94 = 7,841.94 : x
  2. Step 2: Convert to fraction form
    20,316.06/30,470.94 = 7,841.94/x
  3. Step 3: Cross multiply
    20,316.06x = 30,470.94 × 7,841.94
  4. Step 4: Simplify right side
    20,316.06x = 238,951,283.22
  5. Step 5: Solve for x
    x = 238,951,283.22/20,316.06
  6. Step 6: Final answer
    x = 11,761.69

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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.