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Finding the Fourth Proportional to 12,428.72, 18,643.08 and 3,194

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Solution

The fourth proportional to 12,428.72, 18,643.08 and 3,194 is: 4,791.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,428.72 : 18,643.08 = 3,194 : x
  2. Step 2: Convert to fraction form
    12,428.72/18,643.08 = 3,194/x
  3. Step 3: Cross multiply
    12,428.72x = 18,643.08 × 3,194
  4. Step 4: Simplify right side
    12,428.72x = 59,545,997.52
  5. Step 5: Solve for x
    x = 59,545,997.52/12,428.72
  6. Step 6: Final answer
    x = 4,791.00

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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.