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Finding the Fourth Proportional to 15,177.76, 22,768.56 and 5,942.56

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Solution

The fourth proportional to 15,177.76, 22,768.56 and 5,942.56 is: 8,914.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,177.76 : 22,768.56 = 5,942.56 : x
  2. Step 2: Convert to fraction form
    15,177.76/22,768.56 = 5,942.56/x
  3. Step 3: Cross multiply
    15,177.76x = 22,768.56 × 5,942.56
  4. Step 4: Simplify right side
    15,177.76x = 135,303,533.91
  5. Step 5: Solve for x
    x = 135,303,533.91/15,177.76
  6. Step 6: Final answer
    x = 8,914.59

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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.