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Finding the Fourth Proportional to 10,834.38, 16,156.86 and 9,639.72

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Solution

The fourth proportional to 10,834.38, 16,156.86 and 9,639.72 is: 14,375.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,834.38 : 16,156.86 = 9,639.72 : x
  2. Step 2: Convert to fraction form
    10,834.38/16,156.86 = 9,639.72/x
  3. Step 3: Cross multiply
    10,834.38x = 16,156.86 × 9,639.72
  4. Step 4: Simplify right side
    10,834.38x = 155,747,606.48
  5. Step 5: Solve for x
    x = 155,747,606.48/10,834.38
  6. Step 6: Final answer
    x = 14,375.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.