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Finding the Fourth Proportional to 23,833.98, 35,760.78 and 8,262.54

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Solution

The fourth proportional to 23,833.98, 35,760.78 and 8,262.54 is: 12,397.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,833.98 : 35,760.78 = 8,262.54 : x
  2. Step 2: Convert to fraction form
    23,833.98/35,760.78 = 8,262.54/x
  3. Step 3: Cross multiply
    23,833.98x = 35,760.78 × 8,262.54
  4. Step 4: Simplify right side
    23,833.98x = 295,474,875.18
  5. Step 5: Solve for x
    x = 295,474,875.18/23,833.98
  6. Step 6: Final answer
    x = 12,397.21

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1.5x scale

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.