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Finding the Fourth Proportional to 23,893.92, 32,976.54 and 14,462.46

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Solution

The fourth proportional to 23,893.92, 32,976.54 and 14,462.46 is: 19,959.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,893.92 : 32,976.54 = 14,462.46 : x
  2. Step 2: Convert to fraction form
    23,893.92/32,976.54 = 14,462.46/x
  3. Step 3: Cross multiply
    23,893.92x = 32,976.54 × 14,462.46
  4. Step 4: Simplify right side
    23,893.92x = 476,921,890.69
  5. Step 5: Solve for x
    x = 476,921,890.69/23,893.92
  6. Step 6: Final answer
    x = 19,959.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.