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Finding the Fourth Proportional to 21,163.41, 31,722.74 and 7,827.84

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Solution

The fourth proportional to 21,163.41, 31,722.74 and 7,827.84 is: 11,733.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,163.41 : 31,722.74 = 7,827.84 : x
  2. Step 2: Convert to fraction form
    21,163.41/31,722.74 = 7,827.84/x
  3. Step 3: Cross multiply
    21,163.41x = 31,722.74 × 7,827.84
  4. Step 4: Simplify right side
    21,163.41x = 248,320,533.08
  5. Step 5: Solve for x
    x = 248,320,533.08/21,163.41
  6. Step 6: Final answer
    x = 11,733.48

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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.