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Finding the Fourth Proportional to 15,510.96, 23,266.62 and 3,824.15

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Solution

The fourth proportional to 15,510.96, 23,266.62 and 3,824.15 is: 5,736.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,510.96 : 23,266.62 = 3,824.15 : x
  2. Step 2: Convert to fraction form
    15,510.96/23,266.62 = 3,824.15/x
  3. Step 3: Cross multiply
    15,510.96x = 23,266.62 × 3,824.15
  4. Step 4: Simplify right side
    15,510.96x = 88,974,928.54
  5. Step 5: Solve for x
    x = 88,974,928.54/15,510.96
  6. Step 6: Final answer
    x = 5,736.26

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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.