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Finding the Fourth Proportional to 22,940.40, 34,406.82 and 7,356

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Solution

The fourth proportional to 22,940.40, 34,406.82 and 7,356 is: 11,032.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,940.40 : 34,406.82 = 7,356 : x
  2. Step 2: Convert to fraction form
    22,940.40/34,406.82 = 7,356/x
  3. Step 3: Cross multiply
    22,940.40x = 34,406.82 × 7,356
  4. Step 4: Simplify right side
    22,940.40x = 253,096,567.92
  5. Step 5: Solve for x
    x = 253,096,567.92/22,940.40
  6. Step 6: Final answer
    x = 11,032.79

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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.