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Finding the Fourth Proportional to 23,765.85, 32,824.44 and 15,794.24

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Solution

The fourth proportional to 23,765.85, 32,824.44 and 15,794.24 is: 21,814.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,765.85 : 32,824.44 = 15,794.24 : x
  2. Step 2: Convert to fraction form
    23,765.85/32,824.44 = 15,794.24/x
  3. Step 3: Cross multiply
    23,765.85x = 32,824.44 × 15,794.24
  4. Step 4: Simplify right side
    23,765.85x = 518,436,919.10
  5. Step 5: Solve for x
    x = 518,436,919.10/23,765.85
  6. Step 6: Final answer
    x = 21,814.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.