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Finding the Fourth Proportional to 13,683, 18,882.53 and 7,395.38

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Solution

The fourth proportional to 13,683, 18,882.53 and 7,395.38 is: 10,205.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,683 : 18,882.53 = 7,395.38 : x
  2. Step 2: Convert to fraction form
    13,683/18,882.53 = 7,395.38/x
  3. Step 3: Cross multiply
    13,683x = 18,882.53 × 7,395.38
  4. Step 4: Simplify right side
    13,683x = 139,643,390.30
  5. Step 5: Solve for x
    x = 139,643,390.30/13,683
  6. Step 6: Final answer
    x = 10,205.61

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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.