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Finding the Fourth Proportional to 13,683.38, 18,875.76 and 9,199.43

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Solution

The fourth proportional to 13,683.38, 18,875.76 and 9,199.43 is: 12,690.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,683.38 : 18,875.76 = 9,199.43 : x
  2. Step 2: Convert to fraction form
    13,683.38/18,875.76 = 9,199.43/x
  3. Step 3: Cross multiply
    13,683.38x = 18,875.76 × 9,199.43
  4. Step 4: Simplify right side
    13,683.38x = 173,646,138.44
  5. Step 5: Solve for x
    x = 173,646,138.44/13,683.38
  6. Step 6: Final answer
    x = 12,690.30

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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.