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Finding the Fourth Proportional to 20,308.53, 30,459.06 and 9,212.55

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Solution

The fourth proportional to 20,308.53, 30,459.06 and 9,212.55 is: 13,817.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,308.53 : 30,459.06 = 9,212.55 : x
  2. Step 2: Convert to fraction form
    20,308.53/30,459.06 = 9,212.55/x
  3. Step 3: Cross multiply
    20,308.53x = 30,459.06 × 9,212.55
  4. Step 4: Simplify right side
    20,308.53x = 280,605,613.20
  5. Step 5: Solve for x
    x = 280,605,613.20/20,308.53
  6. Step 6: Final answer
    x = 13,817.13

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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.