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Finding the Fourth Proportional to 22,536.91, 33,781.60 and 10,825.39

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Solution

The fourth proportional to 22,536.91, 33,781.60 and 10,825.39 is: 16,226.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,536.91 : 33,781.60 = 10,825.39 : x
  2. Step 2: Convert to fraction form
    22,536.91/33,781.60 = 10,825.39/x
  3. Step 3: Cross multiply
    22,536.91x = 33,781.60 × 10,825.39
  4. Step 4: Simplify right side
    22,536.91x = 365,698,994.82
  5. Step 5: Solve for x
    x = 365,698,994.82/22,536.91
  6. Step 6: Final answer
    x = 16,226.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.