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Finding the Fourth Proportional to 13,381.80, 20,072.76 and 4,616.64

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Solution

The fourth proportional to 13,381.80, 20,072.76 and 4,616.64 is: 6,924.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,381.80 : 20,072.76 = 4,616.64 : x
  2. Step 2: Convert to fraction form
    13,381.80/20,072.76 = 4,616.64/x
  3. Step 3: Cross multiply
    13,381.80x = 20,072.76 × 4,616.64
  4. Step 4: Simplify right side
    13,381.80x = 92,668,706.73
  5. Step 5: Solve for x
    x = 92,668,706.73/13,381.80
  6. Step 6: Final answer
    x = 6,924.98

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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.