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Finding the Fourth Proportional to 22,958.94, 34,438.41 and 9,107.94

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Solution

The fourth proportional to 22,958.94, 34,438.41 and 9,107.94 is: 13,661.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,958.94 : 34,438.41 = 9,107.94 : x
  2. Step 2: Convert to fraction form
    22,958.94/34,438.41 = 9,107.94/x
  3. Step 3: Cross multiply
    22,958.94x = 34,438.41 × 9,107.94
  4. Step 4: Simplify right side
    22,958.94x = 313,662,863.11
  5. Step 5: Solve for x
    x = 313,662,863.11/22,958.94
  6. Step 6: Final answer
    x = 13,661.91

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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.