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Finding the Fourth Proportional to 22,933.53, 34,401.21 and 7,138.83

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Solution

The fourth proportional to 22,933.53, 34,401.21 and 7,138.83 is: 10,708.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,933.53 : 34,401.21 = 7,138.83 : x
  2. Step 2: Convert to fraction form
    22,933.53/34,401.21 = 7,138.83/x
  3. Step 3: Cross multiply
    22,933.53x = 34,401.21 × 7,138.83
  4. Step 4: Simplify right side
    22,933.53x = 245,584,492.22
  5. Step 5: Solve for x
    x = 245,584,492.22/22,933.53
  6. Step 6: Final answer
    x = 10,708.53

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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.