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Finding the Fourth Proportional to 14,564.88, 21,843.27 and 9,224.58

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Solution

The fourth proportional to 14,564.88, 21,843.27 and 9,224.58 is: 13,834.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,564.88 : 21,843.27 = 9,224.58 : x
  2. Step 2: Convert to fraction form
    14,564.88/21,843.27 = 9,224.58/x
  3. Step 3: Cross multiply
    14,564.88x = 21,843.27 × 9,224.58
  4. Step 4: Simplify right side
    14,564.88x = 201,494,991.58
  5. Step 5: Solve for x
    x = 201,494,991.58/14,564.88
  6. Step 6: Final answer
    x = 13,834.30

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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.