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Finding the Fourth Proportional to 15,882.48, 23,824.26 and 7,568.64

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Solution

The fourth proportional to 15,882.48, 23,824.26 and 7,568.64 is: 11,353.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,882.48 : 23,824.26 = 7,568.64 : x
  2. Step 2: Convert to fraction form
    15,882.48/23,824.26 = 7,568.64/x
  3. Step 3: Cross multiply
    15,882.48x = 23,824.26 × 7,568.64
  4. Step 4: Simplify right side
    15,882.48x = 180,317,247.21
  5. Step 5: Solve for x
    x = 180,317,247.21/15,882.48
  6. Step 6: Final answer
    x = 11,353.22

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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.