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Finding the Fourth Proportional to 23,783.22, 35,674.83 and 9,922.50

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Solution

The fourth proportional to 23,783.22, 35,674.83 and 9,922.50 is: 14,883.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,783.22 : 35,674.83 = 9,922.50 : x
  2. Step 2: Convert to fraction form
    23,783.22/35,674.83 = 9,922.50/x
  3. Step 3: Cross multiply
    23,783.22x = 35,674.83 × 9,922.50
  4. Step 4: Simplify right side
    23,783.22x = 353,983,500.68
  5. Step 5: Solve for x
    x = 353,983,500.68/23,783.22
  6. Step 6: Final answer
    x = 14,883.75

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Similar ratio
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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.