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Finding the Fourth Proportional to 13,808.82, 20,706.86 and 4,447.10

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Solution

The fourth proportional to 13,808.82, 20,706.86 and 4,447.10 is: 6,668.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,808.82 : 20,706.86 = 4,447.10 : x
  2. Step 2: Convert to fraction form
    13,808.82/20,706.86 = 4,447.10/x
  3. Step 3: Cross multiply
    13,808.82x = 20,706.86 × 4,447.10
  4. Step 4: Simplify right side
    13,808.82x = 92,085,477.11
  5. Step 5: Solve for x
    x = 92,085,477.11/13,808.82
  6. Step 6: Final answer
    x = 6,668.60

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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.