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Finding the Fourth Proportional to 23,806.96, 35,712.88 and 8,220.96

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Solution

The fourth proportional to 23,806.96, 35,712.88 and 8,220.96 is: 12,332.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,806.96 : 35,712.88 = 8,220.96 : x
  2. Step 2: Convert to fraction form
    23,806.96/35,712.88 = 8,220.96/x
  3. Step 3: Cross multiply
    23,806.96x = 35,712.88 × 8,220.96
  4. Step 4: Simplify right side
    23,806.96x = 293,594,157.96
  5. Step 5: Solve for x
    x = 293,594,157.96/23,806.96
  6. Step 6: Final answer
    x = 12,332.28

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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.