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Finding the Fourth Proportional to 12,618.47, 18,932.84 and 6,380.25

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Solution

The fourth proportional to 12,618.47, 18,932.84 and 6,380.25 is: 9,572.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,618.47 : 18,932.84 = 6,380.25 : x
  2. Step 2: Convert to fraction form
    12,618.47/18,932.84 = 6,380.25/x
  3. Step 3: Cross multiply
    12,618.47x = 18,932.84 × 6,380.25
  4. Step 4: Simplify right side
    12,618.47x = 120,796,220.51
  5. Step 5: Solve for x
    x = 120,796,220.51/12,618.47
  6. Step 6: Final answer
    x = 9,572.97

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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.