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Finding the Fourth Proportional to 13,850.60, 20,776.98 and 6,834.38

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Solution

The fourth proportional to 13,850.60, 20,776.98 and 6,834.38 is: 10,252.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,850.60 : 20,776.98 = 6,834.38 : x
  2. Step 2: Convert to fraction form
    13,850.60/20,776.98 = 6,834.38/x
  3. Step 3: Cross multiply
    13,850.60x = 20,776.98 × 6,834.38
  4. Step 4: Simplify right side
    13,850.60x = 141,997,776.57
  5. Step 5: Solve for x
    x = 141,997,776.57/13,850.60
  6. Step 6: Final answer
    x = 10,252.10

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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.