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Finding the Fourth Proportional to 15,163.60, 22,743.24 and 4,774

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Solution

The fourth proportional to 15,163.60, 22,743.24 and 4,774 is: 7,160.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,163.60 : 22,743.24 = 4,774 : x
  2. Step 2: Convert to fraction form
    15,163.60/22,743.24 = 4,774/x
  3. Step 3: Cross multiply
    15,163.60x = 22,743.24 × 4,774
  4. Step 4: Simplify right side
    15,163.60x = 108,576,227.76
  5. Step 5: Solve for x
    x = 108,576,227.76/15,163.60
  6. Step 6: Final answer
    x = 7,160.32

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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.