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Finding the Fourth Proportional to 14,551.57, 21,809.10 and 6,221.80

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Solution

The fourth proportional to 14,551.57, 21,809.10 and 6,221.80 is: 9,324.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,551.57 : 21,809.10 = 6,221.80 : x
  2. Step 2: Convert to fraction form
    14,551.57/21,809.10 = 6,221.80/x
  3. Step 3: Cross multiply
    14,551.57x = 21,809.10 × 6,221.80
  4. Step 4: Simplify right side
    14,551.57x = 135,691,858.38
  5. Step 5: Solve for x
    x = 135,691,858.38/14,551.57
  6. Step 6: Final answer
    x = 9,324.89

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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.