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Finding the Fourth Proportional to 15,476.54, 23,218.74 and 7,162.55

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Solution

The fourth proportional to 15,476.54, 23,218.74 and 7,162.55 is: 10,745.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,476.54 : 23,218.74 = 7,162.55 : x
  2. Step 2: Convert to fraction form
    15,476.54/23,218.74 = 7,162.55/x
  3. Step 3: Cross multiply
    15,476.54x = 23,218.74 × 7,162.55
  4. Step 4: Simplify right side
    15,476.54x = 166,305,270.09
  5. Step 5: Solve for x
    x = 166,305,270.09/15,476.54
  6. Step 6: Final answer
    x = 10,745.63

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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.