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Finding the Fourth Proportional to 13,408.69, 20,105.19 and 4,045.90

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Solution

The fourth proportional to 13,408.69, 20,105.19 and 4,045.90 is: 6,066.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,408.69 : 20,105.19 = 4,045.90 : x
  2. Step 2: Convert to fraction form
    13,408.69/20,105.19 = 4,045.90/x
  3. Step 3: Cross multiply
    13,408.69x = 20,105.19 × 4,045.90
  4. Step 4: Simplify right side
    13,408.69x = 81,343,467.47
  5. Step 5: Solve for x
    x = 81,343,467.47/13,408.69
  6. Step 6: Final answer
    x = 6,066.48

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