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Finding the Fourth Proportional to 14,342.62, 21,513.09 and 6,443.09

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Solution

The fourth proportional to 14,342.62, 21,513.09 and 6,443.09 is: 9,664.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,342.62 : 21,513.09 = 6,443.09 : x
  2. Step 2: Convert to fraction form
    14,342.62/21,513.09 = 6,443.09/x
  3. Step 3: Cross multiply
    14,342.62x = 21,513.09 × 6,443.09
  4. Step 4: Simplify right side
    14,342.62x = 138,610,893.33
  5. Step 5: Solve for x
    x = 138,610,893.33/14,342.62
  6. Step 6: Final answer
    x = 9,664.27

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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.