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Finding the Fourth Proportional to 23,823.56, 35,735.34 and 8,232.68

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Solution

The fourth proportional to 23,823.56, 35,735.34 and 8,232.68 is: 12,349.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,823.56 : 35,735.34 = 8,232.68 : x
  2. Step 2: Convert to fraction form
    23,823.56/35,735.34 = 8,232.68/x
  3. Step 3: Cross multiply
    23,823.56x = 35,735.34 × 8,232.68
  4. Step 4: Simplify right side
    23,823.56x = 294,197,618.91
  5. Step 5: Solve for x
    x = 294,197,618.91/23,823.56
  6. Step 6: Final answer
    x = 12,349.02

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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.