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Finding the Fourth Proportional to 13,549.61, 20,319.37 and 4,662.46

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Solution

The fourth proportional to 13,549.61, 20,319.37 and 4,662.46 is: 6,991.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,549.61 : 20,319.37 = 4,662.46 : x
  2. Step 2: Convert to fraction form
    13,549.61/20,319.37 = 4,662.46/x
  3. Step 3: Cross multiply
    13,549.61x = 20,319.37 × 4,662.46
  4. Step 4: Simplify right side
    13,549.61x = 94,738,249.85
  5. Step 5: Solve for x
    x = 94,738,249.85/13,549.61
  6. Step 6: Final answer
    x = 6,991.95

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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.