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Finding the Fourth Proportional to 27,644.49, 41,473.85 and 7,924.41

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Solution

The fourth proportional to 27,644.49, 41,473.85 and 7,924.41 is: 11,888.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,644.49 : 41,473.85 = 7,924.41 : x
  2. Step 2: Convert to fraction form
    27,644.49/41,473.85 = 7,924.41/x
  3. Step 3: Cross multiply
    27,644.49x = 41,473.85 × 7,924.41
  4. Step 4: Simplify right side
    27,644.49x = 328,655,752.06
  5. Step 5: Solve for x
    x = 328,655,752.06/27,644.49
  6. Step 6: Final answer
    x = 11,888.65

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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.