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Finding the Fourth Proportional to 20,039.60, 30,066.69 and 9,512.84

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Solution

The fourth proportional to 20,039.60, 30,066.69 and 9,512.84 is: 14,272.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,039.60 : 30,066.69 = 9,512.84 : x
  2. Step 2: Convert to fraction form
    20,039.60/30,066.69 = 9,512.84/x
  3. Step 3: Cross multiply
    20,039.60x = 30,066.69 × 9,512.84
  4. Step 4: Simplify right side
    20,039.60x = 286,019,722.14
  5. Step 5: Solve for x
    x = 286,019,722.14/20,039.60
  6. Step 6: Final answer
    x = 14,272.72

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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.