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Finding the Fourth Proportional to 22,645.19, 33,956.86 and 9,494.03

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Solution

The fourth proportional to 22,645.19, 33,956.86 and 9,494.03 is: 14,236.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,645.19 : 33,956.86 = 9,494.03 : x
  2. Step 2: Convert to fraction form
    22,645.19/33,956.86 = 9,494.03/x
  3. Step 3: Cross multiply
    22,645.19x = 33,956.86 × 9,494.03
  4. Step 4: Simplify right side
    22,645.19x = 322,387,447.55
  5. Step 5: Solve for x
    x = 322,387,447.55/22,645.19
  6. Step 6: Final answer
    x = 14,236.46

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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.