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Finding the Fourth Proportional to 23,028.71, 34,543.06 and 8,241.85

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Solution

The fourth proportional to 23,028.71, 34,543.06 and 8,241.85 is: 12,362.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,028.71 : 34,543.06 = 8,241.85 : x
  2. Step 2: Convert to fraction form
    23,028.71/34,543.06 = 8,241.85/x
  3. Step 3: Cross multiply
    23,028.71x = 34,543.06 × 8,241.85
  4. Step 4: Simplify right side
    23,028.71x = 284,698,741.64
  5. Step 5: Solve for x
    x = 284,698,741.64/23,028.71
  6. Step 6: Final answer
    x = 12,362.78

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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.