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Finding the Fourth Proportional to 20,308.56, 30,459.69 and 7,834.43

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Solution

The fourth proportional to 20,308.56, 30,459.69 and 7,834.43 is: 11,750.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,308.56 : 30,459.69 = 7,834.43 : x
  2. Step 2: Convert to fraction form
    20,308.56/30,459.69 = 7,834.43/x
  3. Step 3: Cross multiply
    20,308.56x = 30,459.69 × 7,834.43
  4. Step 4: Simplify right side
    20,308.56x = 238,634,156.83
  5. Step 5: Solve for x
    x = 238,634,156.83/20,308.56
  6. Step 6: Final answer
    x = 11,750.42

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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.