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Finding the Fourth Proportional to 23,657.28, 32,648.48 and 13,724.48

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Solution

The fourth proportional to 23,657.28, 32,648.48 and 13,724.48 is: 18,940.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,657.28 : 32,648.48 = 13,724.48 : x
  2. Step 2: Convert to fraction form
    23,657.28/32,648.48 = 13,724.48/x
  3. Step 3: Cross multiply
    23,657.28x = 32,648.48 × 13,724.48
  4. Step 4: Simplify right side
    23,657.28x = 448,083,410.79
  5. Step 5: Solve for x
    x = 448,083,410.79/23,657.28
  6. Step 6: Final answer
    x = 18,940.61

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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.