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Finding the Fourth Proportional to 13,605.65, 20,408.61 and 4,118.05

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Solution

The fourth proportional to 13,605.65, 20,408.61 and 4,118.05 is: 6,177.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,605.65 : 20,408.61 = 4,118.05 : x
  2. Step 2: Convert to fraction form
    13,605.65/20,408.61 = 4,118.05/x
  3. Step 3: Cross multiply
    13,605.65x = 20,408.61 × 4,118.05
  4. Step 4: Simplify right side
    13,605.65x = 84,043,574.37
  5. Step 5: Solve for x
    x = 84,043,574.37/13,605.65
  6. Step 6: Final answer
    x = 6,177.11

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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.