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Finding the Fourth Proportional to 21,644.19, 32,469.71 and 9,164.29

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Solution

The fourth proportional to 21,644.19, 32,469.71 and 9,164.29 is: 13,747.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,644.19 : 32,469.71 = 9,164.29 : x
  2. Step 2: Convert to fraction form
    21,644.19/32,469.71 = 9,164.29/x
  3. Step 3: Cross multiply
    21,644.19x = 32,469.71 × 9,164.29
  4. Step 4: Simplify right side
    21,644.19x = 297,561,838.66
  5. Step 5: Solve for x
    x = 297,561,838.66/21,644.19
  6. Step 6: Final answer
    x = 13,747.89

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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.