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Finding the Fourth Proportional to 12,850.92, 19,276.25 and 4,086.45

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Solution

The fourth proportional to 12,850.92, 19,276.25 and 4,086.45 is: 6,129.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,850.92 : 19,276.25 = 4,086.45 : x
  2. Step 2: Convert to fraction form
    12,850.92/19,276.25 = 4,086.45/x
  3. Step 3: Cross multiply
    12,850.92x = 19,276.25 × 4,086.45
  4. Step 4: Simplify right side
    12,850.92x = 78,771,411.38
  5. Step 5: Solve for x
    x = 78,771,411.38/12,850.92
  6. Step 6: Final answer
    x = 6,129.63

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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.