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Finding the Fourth Proportional to 12,716.38, 19,072.05 and 10,265.50

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Solution

The fourth proportional to 12,716.38, 19,072.05 and 10,265.50 is: 15,396.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,716.38 : 19,072.05 = 10,265.50 : x
  2. Step 2: Convert to fraction form
    12,716.38/19,072.05 = 10,265.50/x
  3. Step 3: Cross multiply
    12,716.38x = 19,072.05 × 10,265.50
  4. Step 4: Simplify right side
    12,716.38x = 195,784,129.28
  5. Step 5: Solve for x
    x = 195,784,129.28/12,716.38
  6. Step 6: Final answer
    x = 15,396.22

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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.