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Finding the Fourth Proportional to 13,408.86, 20,116.12 and 4,049.58

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Solution

The fourth proportional to 13,408.86, 20,116.12 and 4,049.58 is: 6,075.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,408.86 : 20,116.12 = 4,049.58 : x
  2. Step 2: Convert to fraction form
    13,408.86/20,116.12 = 4,049.58/x
  3. Step 3: Cross multiply
    13,408.86x = 20,116.12 × 4,049.58
  4. Step 4: Simplify right side
    13,408.86x = 81,461,837.23
  5. Step 5: Solve for x
    x = 81,461,837.23/13,408.86
  6. Step 6: Final answer
    x = 6,075.22

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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.