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Finding the Fourth Proportional to 21,047.88, 31,571.73 and 8,564.94

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Solution

The fourth proportional to 21,047.88, 31,571.73 and 8,564.94 is: 12,847.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,047.88 : 31,571.73 = 8,564.94 : x
  2. Step 2: Convert to fraction form
    21,047.88/31,571.73 = 8,564.94/x
  3. Step 3: Cross multiply
    21,047.88x = 31,571.73 × 8,564.94
  4. Step 4: Simplify right side
    21,047.88x = 270,409,973.15
  5. Step 5: Solve for x
    x = 270,409,973.15/21,047.88
  6. Step 6: Final answer
    x = 12,847.37

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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.