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Finding the Fourth Proportional to 22,716.45, 34,073.06 and 7,138.53

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Solution

The fourth proportional to 22,716.45, 34,073.06 and 7,138.53 is: 10,707.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,716.45 : 34,073.06 = 7,138.53 : x
  2. Step 2: Convert to fraction form
    22,716.45/34,073.06 = 7,138.53/x
  3. Step 3: Cross multiply
    22,716.45x = 34,073.06 × 7,138.53
  4. Step 4: Simplify right side
    22,716.45x = 243,231,525.31
  5. Step 5: Solve for x
    x = 243,231,525.31/22,716.45
  6. Step 6: Final answer
    x = 10,707.29

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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.