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Finding the Fourth Proportional to 27,515.86, 41,266 and 10,644.98

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Solution

The fourth proportional to 27,515.86, 41,266 and 10,644.98 is: 15,964.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,515.86 : 41,266 = 10,644.98 : x
  2. Step 2: Convert to fraction form
    27,515.86/41,266 = 10,644.98/x
  3. Step 3: Cross multiply
    27,515.86x = 41,266 × 10,644.98
  4. Step 4: Simplify right side
    27,515.86x = 439,275,744.68
  5. Step 5: Solve for x
    x = 439,275,744.68/27,515.86
  6. Step 6: Final answer
    x = 15,964.46

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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.