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Finding the Fourth Proportional to 14,414.72, 21,614.39 and 7,391.89

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Solution

The fourth proportional to 14,414.72, 21,614.39 and 7,391.89 is: 11,083.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,414.72 : 21,614.39 = 7,391.89 : x
  2. Step 2: Convert to fraction form
    14,414.72/21,614.39 = 7,391.89/x
  3. Step 3: Cross multiply
    14,414.72x = 21,614.39 × 7,391.89
  4. Step 4: Simplify right side
    14,414.72x = 159,771,207.06
  5. Step 5: Solve for x
    x = 159,771,207.06/14,414.72
  6. Step 6: Final answer
    x = 11,083.89

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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.