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Finding the Fourth Proportional to 23,841.92, 35,761.28 and 9,798.31

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Solution

The fourth proportional to 23,841.92, 35,761.28 and 9,798.31 is: 14,696.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,841.92 : 35,761.28 = 9,798.31 : x
  2. Step 2: Convert to fraction form
    23,841.92/35,761.28 = 9,798.31/x
  3. Step 3: Cross multiply
    23,841.92x = 35,761.28 × 9,798.31
  4. Step 4: Simplify right side
    23,841.92x = 350,400,042.53
  5. Step 5: Solve for x
    x = 350,400,042.53/23,841.92
  6. Step 6: Final answer
    x = 14,696.81

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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.