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Finding the Fourth Proportional to 20,160.60, 30,224.79 and 7,678.14

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Solution

The fourth proportional to 20,160.60, 30,224.79 and 7,678.14 is: 11,511.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,160.60 : 30,224.79 = 7,678.14 : x
  2. Step 2: Convert to fraction form
    20,160.60/30,224.79 = 7,678.14/x
  3. Step 3: Cross multiply
    20,160.60x = 30,224.79 × 7,678.14
  4. Step 4: Simplify right side
    20,160.60x = 232,070,169.09
  5. Step 5: Solve for x
    x = 232,070,169.09/20,160.60
  6. Step 6: Final answer
    x = 11,511.07

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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.