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Finding the Fourth Proportional to 22,499.25, 33,742.67 and 8,458.17

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Solution

The fourth proportional to 22,499.25, 33,742.67 and 8,458.17 is: 12,684.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,499.25 : 33,742.67 = 8,458.17 : x
  2. Step 2: Convert to fraction form
    22,499.25/33,742.67 = 8,458.17/x
  3. Step 3: Cross multiply
    22,499.25x = 33,742.67 × 8,458.17
  4. Step 4: Simplify right side
    22,499.25x = 285,401,196.82
  5. Step 5: Solve for x
    x = 285,401,196.82/22,499.25
  6. Step 6: Final answer
    x = 12,684.92

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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.