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Finding the Fourth Proportional to 23,764.39, 32,761.04 and 16,201.01

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Solution

The fourth proportional to 23,764.39, 32,761.04 and 16,201.01 is: 22,334.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,764.39 : 32,761.04 = 16,201.01 : x
  2. Step 2: Convert to fraction form
    23,764.39/32,761.04 = 16,201.01/x
  3. Step 3: Cross multiply
    23,764.39x = 32,761.04 × 16,201.01
  4. Step 4: Simplify right side
    23,764.39x = 530,762,028.68
  5. Step 5: Solve for x
    x = 530,762,028.68/23,764.39
  6. Step 6: Final answer
    x = 22,334.34

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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.