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Finding the Fourth Proportional to 26,966, 40,456.98 and 13,827.60

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Solution

The fourth proportional to 26,966, 40,456.98 and 13,827.60 is: 20,745.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,966 : 40,456.98 = 13,827.60 : x
  2. Step 2: Convert to fraction form
    26,966/40,456.98 = 13,827.60/x
  3. Step 3: Cross multiply
    26,966x = 40,456.98 × 13,827.60
  4. Step 4: Simplify right side
    26,966x = 559,422,936.65
  5. Step 5: Solve for x
    x = 559,422,936.65/26,966
  6. Step 6: Final answer
    x = 20,745.49

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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.