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Finding the Fourth Proportional to 23,704.22, 35,548.76 and 9,664.22

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Solution

The fourth proportional to 23,704.22, 35,548.76 and 9,664.22 is: 14,493.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,704.22 : 35,548.76 = 9,664.22 : x
  2. Step 2: Convert to fraction form
    23,704.22/35,548.76 = 9,664.22/x
  3. Step 3: Cross multiply
    23,704.22x = 35,548.76 × 9,664.22
  4. Step 4: Simplify right side
    23,704.22x = 343,551,037.37
  5. Step 5: Solve for x
    x = 343,551,037.37/23,704.22
  6. Step 6: Final answer
    x = 14,493.24

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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.