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Finding the Fourth Proportional to 22,536.82, 33,820.35 and 8,509.78

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Solution

The fourth proportional to 22,536.82, 33,820.35 and 8,509.78 is: 12,770.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,536.82 : 33,820.35 = 8,509.78 : x
  2. Step 2: Convert to fraction form
    22,536.82/33,820.35 = 8,509.78/x
  3. Step 3: Cross multiply
    22,536.82x = 33,820.35 × 8,509.78
  4. Step 4: Simplify right side
    22,536.82x = 287,803,738.02
  5. Step 5: Solve for x
    x = 287,803,738.02/22,536.82
  6. Step 6: Final answer
    x = 12,770.38

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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.