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Finding the Fourth Proportional to 20,517.84, 30,776.76 and 11,758.32

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Solution

The fourth proportional to 20,517.84, 30,776.76 and 11,758.32 is: 17,637.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,517.84 : 30,776.76 = 11,758.32 : x
  2. Step 2: Convert to fraction form
    20,517.84/30,776.76 = 11,758.32/x
  3. Step 3: Cross multiply
    20,517.84x = 30,776.76 × 11,758.32
  4. Step 4: Simplify right side
    20,517.84x = 361,882,992.64
  5. Step 5: Solve for x
    x = 361,882,992.64/20,517.84
  6. Step 6: Final answer
    x = 17,637.48

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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.