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Finding the Fourth Proportional to 23,847.81, 35,749.82 and 8,254.53

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Solution

The fourth proportional to 23,847.81, 35,749.82 and 8,254.53 is: 12,374.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,847.81 : 35,749.82 = 8,254.53 : x
  2. Step 2: Convert to fraction form
    23,847.81/35,749.82 = 8,254.53/x
  3. Step 3: Cross multiply
    23,847.81x = 35,749.82 × 8,254.53
  4. Step 4: Simplify right side
    23,847.81x = 295,097,920.41
  5. Step 5: Solve for x
    x = 295,097,920.41/23,847.81
  6. Step 6: Final answer
    x = 12,374.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.