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Finding the Fourth Proportional to 12,772.44, 19,152.18 and 5,841

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Solution

The fourth proportional to 12,772.44, 19,152.18 and 5,841 is: 8,758.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,772.44 : 19,152.18 = 5,841 : x
  2. Step 2: Convert to fraction form
    12,772.44/19,152.18 = 5,841/x
  3. Step 3: Cross multiply
    12,772.44x = 19,152.18 × 5,841
  4. Step 4: Simplify right side
    12,772.44x = 111,867,883.38
  5. Step 5: Solve for x
    x = 111,867,883.38/12,772.44
  6. Step 6: Final answer
    x = 8,758.54

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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.