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Finding the Fourth Proportional to 20,532.68, 30,808.16 and 11,767.60

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Solution

The fourth proportional to 20,532.68, 30,808.16 and 11,767.60 is: 17,656.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,532.68 : 30,808.16 = 11,767.60 : x
  2. Step 2: Convert to fraction form
    20,532.68/30,808.16 = 11,767.60/x
  3. Step 3: Cross multiply
    20,532.68x = 30,808.16 × 11,767.60
  4. Step 4: Simplify right side
    20,532.68x = 362,538,103.62
  5. Step 5: Solve for x
    x = 362,538,103.62/20,532.68
  6. Step 6: Final answer
    x = 17,656.64

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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.