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Finding the Fourth Proportional to 21,255.49, 31,876.47 and 7,744.98

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Solution

The fourth proportional to 21,255.49, 31,876.47 and 7,744.98 is: 11,615.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,255.49 : 31,876.47 = 7,744.98 : x
  2. Step 2: Convert to fraction form
    21,255.49/31,876.47 = 7,744.98/x
  3. Step 3: Cross multiply
    21,255.49x = 31,876.47 × 7,744.98
  4. Step 4: Simplify right side
    21,255.49x = 246,882,622.62
  5. Step 5: Solve for x
    x = 246,882,622.62/21,255.49
  6. Step 6: Final answer
    x = 11,615.01

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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.