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Finding the Fourth Proportional to 13,847.84, 20,794.80 and 13,740.32

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Solution

The fourth proportional to 13,847.84, 20,794.80 and 13,740.32 is: 20,633.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,847.84 : 20,794.80 = 13,740.32 : x
  2. Step 2: Convert to fraction form
    13,847.84/20,794.80 = 13,740.32/x
  3. Step 3: Cross multiply
    13,847.84x = 20,794.80 × 13,740.32
  4. Step 4: Simplify right side
    13,847.84x = 285,727,206.34
  5. Step 5: Solve for x
    x = 285,727,206.34/13,847.84
  6. Step 6: Final answer
    x = 20,633.34

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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.