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Finding the Fourth Proportional to 22,942.40, 34,409.82 and 7,358

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Solution

The fourth proportional to 22,942.40, 34,409.82 and 7,358 is: 11,035.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,942.40 : 34,409.82 = 7,358 : x
  2. Step 2: Convert to fraction form
    22,942.40/34,409.82 = 7,358/x
  3. Step 3: Cross multiply
    22,942.40x = 34,409.82 × 7,358
  4. Step 4: Simplify right side
    22,942.40x = 253,187,455.56
  5. Step 5: Solve for x
    x = 253,187,455.56/22,942.40
  6. Step 6: Final answer
    x = 11,035.79

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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.