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Finding the Fourth Proportional to 15,824.44, 23,751.06 and 8,435.20

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Solution

The fourth proportional to 15,824.44, 23,751.06 and 8,435.20 is: 12,660.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,824.44 : 23,751.06 = 8,435.20 : x
  2. Step 2: Convert to fraction form
    15,824.44/23,751.06 = 8,435.20/x
  3. Step 3: Cross multiply
    15,824.44x = 23,751.06 × 8,435.20
  4. Step 4: Simplify right side
    15,824.44x = 200,344,941.31
  5. Step 5: Solve for x
    x = 200,344,941.31/15,824.44
  6. Step 6: Final answer
    x = 12,660.48

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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.