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Finding the Fourth Proportional to 15,040.50, 22,560.75 and 4,096.50

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Solution

The fourth proportional to 15,040.50, 22,560.75 and 4,096.50 is: 6,144.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,040.50 : 22,560.75 = 4,096.50 : x
  2. Step 2: Convert to fraction form
    15,040.50/22,560.75 = 4,096.50/x
  3. Step 3: Cross multiply
    15,040.50x = 22,560.75 × 4,096.50
  4. Step 4: Simplify right side
    15,040.50x = 92,420,112.38
  5. Step 5: Solve for x
    x = 92,420,112.38/15,040.50
  6. Step 6: Final answer
    x = 6,144.75

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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.