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Finding the Fourth Proportional to 13,683.38, 18,883.08 and 7,395.75

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Solution

The fourth proportional to 13,683.38, 18,883.08 and 7,395.75 is: 10,206.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,683.38 : 18,883.08 = 7,395.75 : x
  2. Step 2: Convert to fraction form
    13,683.38/18,883.08 = 7,395.75/x
  3. Step 3: Cross multiply
    13,683.38x = 18,883.08 × 7,395.75
  4. Step 4: Simplify right side
    13,683.38x = 139,654,538.91
  5. Step 5: Solve for x
    x = 139,654,538.91/13,683.38
  6. Step 6: Final answer
    x = 10,206.15

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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.