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Finding the Fourth Proportional to 27,644.64, 41,434.50 and 12,822.35

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Solution

The fourth proportional to 27,644.64, 41,434.50 and 12,822.35 is: 19,218.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,644.64 : 41,434.50 = 12,822.35 : x
  2. Step 2: Convert to fraction form
    27,644.64/41,434.50 = 12,822.35/x
  3. Step 3: Cross multiply
    27,644.64x = 41,434.50 × 12,822.35
  4. Step 4: Simplify right side
    27,644.64x = 531,287,661.08
  5. Step 5: Solve for x
    x = 531,287,661.08/27,644.64
  6. Step 6: Final answer
    x = 19,218.47

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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.