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Finding the Fourth Proportional to 13,684.38, 18,884.46 and 7,396.75

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Solution

The fourth proportional to 13,684.38, 18,884.46 and 7,396.75 is: 10,207.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,684.38 : 18,884.46 = 7,396.75 : x
  2. Step 2: Convert to fraction form
    13,684.38/18,884.46 = 7,396.75/x
  3. Step 3: Cross multiply
    13,684.38x = 18,884.46 × 7,396.75
  4. Step 4: Simplify right side
    13,684.38x = 139,683,629.51
  5. Step 5: Solve for x
    x = 139,683,629.51/13,684.38
  6. Step 6: Final answer
    x = 10,207.52

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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.