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Finding the Fourth Proportional to 22,960.35, 34,426.17 and 9,629.78

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Solution

The fourth proportional to 22,960.35, 34,426.17 and 9,629.78 is: 14,438.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,960.35 : 34,426.17 = 9,629.78 : x
  2. Step 2: Convert to fraction form
    22,960.35/34,426.17 = 9,629.78/x
  3. Step 3: Cross multiply
    22,960.35x = 34,426.17 × 9,629.78
  4. Step 4: Simplify right side
    22,960.35x = 331,516,271.21
  5. Step 5: Solve for x
    x = 331,516,271.21/22,960.35
  6. Step 6: Final answer
    x = 14,438.64

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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.