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Finding the Fourth Proportional to 12,851.56, 19,278 and 3,618.28

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Solution

The fourth proportional to 12,851.56, 19,278 and 3,618.28 is: 5,427.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,851.56 : 19,278 = 3,618.28 : x
  2. Step 2: Convert to fraction form
    12,851.56/19,278 = 3,618.28/x
  3. Step 3: Cross multiply
    12,851.56x = 19,278 × 3,618.28
  4. Step 4: Simplify right side
    12,851.56x = 69,753,201.84
  5. Step 5: Solve for x
    x = 69,753,201.84/12,851.56
  6. Step 6: Final answer
    x = 5,427.61

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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.