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Finding the Fourth Proportional to 21,161.85, 31,744.89 and 7,838.43

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Solution

The fourth proportional to 21,161.85, 31,744.89 and 7,838.43 is: 11,758.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,161.85 : 31,744.89 = 7,838.43 : x
  2. Step 2: Convert to fraction form
    21,161.85/31,744.89 = 7,838.43/x
  3. Step 3: Cross multiply
    21,161.85x = 31,744.89 × 7,838.43
  4. Step 4: Simplify right side
    21,161.85x = 248,830,098.12
  5. Step 5: Solve for x
    x = 248,830,098.12/21,161.85
  6. Step 6: Final answer
    x = 11,758.43

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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.