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Finding the Fourth Proportional to 13,403.38, 20,106.18 and 5,083.38

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Solution

The fourth proportional to 13,403.38, 20,106.18 and 5,083.38 is: 7,625.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,403.38 : 20,106.18 = 5,083.38 : x
  2. Step 2: Convert to fraction form
    13,403.38/20,106.18 = 5,083.38/x
  3. Step 3: Cross multiply
    13,403.38x = 20,106.18 × 5,083.38
  4. Step 4: Simplify right side
    13,403.38x = 102,207,353.29
  5. Step 5: Solve for x
    x = 102,207,353.29/13,403.38
  6. Step 6: Final answer
    x = 7,625.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.