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Finding the Fourth Proportional to 21,042.80, 31,571.40 and 9,364.40

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Solution

The fourth proportional to 21,042.80, 31,571.40 and 9,364.40 is: 14,049.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,042.80 : 31,571.40 = 9,364.40 : x
  2. Step 2: Convert to fraction form
    21,042.80/31,571.40 = 9,364.40/x
  3. Step 3: Cross multiply
    21,042.80x = 31,571.40 × 9,364.40
  4. Step 4: Simplify right side
    21,042.80x = 295,647,218.16
  5. Step 5: Solve for x
    x = 295,647,218.16/21,042.80
  6. Step 6: Final answer
    x = 14,049.80

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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.