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Finding the Fourth Proportional to 22,650.62, 33,974.84 and 7,656.74

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Solution

The fourth proportional to 22,650.62, 33,974.84 and 7,656.74 is: 11,484.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,650.62 : 33,974.84 = 7,656.74 : x
  2. Step 2: Convert to fraction form
    22,650.62/33,974.84 = 7,656.74/x
  3. Step 3: Cross multiply
    22,650.62x = 33,974.84 × 7,656.74
  4. Step 4: Simplify right side
    22,650.62x = 260,136,516.42
  5. Step 5: Solve for x
    x = 260,136,516.42/22,650.62
  6. Step 6: Final answer
    x = 11,484.74

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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.