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Finding the Fourth Proportional to 20,308.54, 30,459.06 and 9,212.56

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Solution

The fourth proportional to 20,308.54, 30,459.06 and 9,212.56 is: 13,817.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,308.54 : 30,459.06 = 9,212.56 : x
  2. Step 2: Convert to fraction form
    20,308.54/30,459.06 = 9,212.56/x
  3. Step 3: Cross multiply
    20,308.54x = 30,459.06 × 9,212.56
  4. Step 4: Simplify right side
    20,308.54x = 280,605,917.79
  5. Step 5: Solve for x
    x = 280,605,917.79/20,308.54
  6. Step 6: Final answer
    x = 13,817.14

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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.