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Finding the Fourth Proportional to 12,448.93, 18,653.94 and 7,822.21

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Solution

The fourth proportional to 12,448.93, 18,653.94 and 7,822.21 is: 11,721.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,448.93 : 18,653.94 = 7,822.21 : x
  2. Step 2: Convert to fraction form
    12,448.93/18,653.94 = 7,822.21/x
  3. Step 3: Cross multiply
    12,448.93x = 18,653.94 × 7,822.21
  4. Step 4: Simplify right side
    12,448.93x = 145,914,996.90
  5. Step 5: Solve for x
    x = 145,914,996.90/12,448.93
  6. Step 6: Final answer
    x = 11,721.09

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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.