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Finding the Fourth Proportional to 15,833.92, 23,761.52 and 8,443.48

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Solution

The fourth proportional to 15,833.92, 23,761.52 and 8,443.48 is: 12,670.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,833.92 : 23,761.52 = 8,443.48 : x
  2. Step 2: Convert to fraction form
    15,833.92/23,761.52 = 8,443.48/x
  3. Step 3: Cross multiply
    15,833.92x = 23,761.52 × 8,443.48
  4. Step 4: Simplify right side
    15,833.92x = 200,629,918.89
  5. Step 5: Solve for x
    x = 200,629,918.89/15,833.92
  6. Step 6: Final answer
    x = 12,670.89

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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.