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Finding the Fourth Proportional to 15,711.68, 23,568.44 and 5,850.16

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Solution

The fourth proportional to 15,711.68, 23,568.44 and 5,850.16 is: 8,775.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,711.68 : 23,568.44 = 5,850.16 : x
  2. Step 2: Convert to fraction form
    15,711.68/23,568.44 = 5,850.16/x
  3. Step 3: Cross multiply
    15,711.68x = 23,568.44 × 5,850.16
  4. Step 4: Simplify right side
    15,711.68x = 137,879,144.95
  5. Step 5: Solve for x
    x = 137,879,144.95/15,711.68
  6. Step 6: Final answer
    x = 8,775.58

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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.