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Finding the Fourth Proportional to 22,523.42, 33,788.23 and 7,730.42

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Solution

The fourth proportional to 22,523.42, 33,788.23 and 7,730.42 is: 11,596.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,523.42 : 33,788.23 = 7,730.42 : x
  2. Step 2: Convert to fraction form
    22,523.42/33,788.23 = 7,730.42/x
  3. Step 3: Cross multiply
    22,523.42x = 33,788.23 × 7,730.42
  4. Step 4: Simplify right side
    22,523.42x = 261,197,064.17
  5. Step 5: Solve for x
    x = 261,197,064.17/22,523.42
  6. Step 6: Final answer
    x = 11,596.69

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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.