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Finding the Fourth Proportional to 13,652.33, 18,839.41 and 7,683.75

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Solution

The fourth proportional to 13,652.33, 18,839.41 and 7,683.75 is: 10,603.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,652.33 : 18,839.41 = 7,683.75 : x
  2. Step 2: Convert to fraction form
    13,652.33/18,839.41 = 7,683.75/x
  3. Step 3: Cross multiply
    13,652.33x = 18,839.41 × 7,683.75
  4. Step 4: Simplify right side
    13,652.33x = 144,757,297.38
  5. Step 5: Solve for x
    x = 144,757,297.38/13,652.33
  6. Step 6: Final answer
    x = 10,603.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.