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Finding the Fourth Proportional to 14,005.31, 21,007.96 and 9,609.44

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Solution

The fourth proportional to 14,005.31, 21,007.96 and 9,609.44 is: 14,414.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,005.31 : 21,007.96 = 9,609.44 : x
  2. Step 2: Convert to fraction form
    14,005.31/21,007.96 = 9,609.44/x
  3. Step 3: Cross multiply
    14,005.31x = 21,007.96 × 9,609.44
  4. Step 4: Simplify right side
    14,005.31x = 201,874,602.08
  5. Step 5: Solve for x
    x = 201,874,602.08/14,005.31
  6. Step 6: Final answer
    x = 14,414.15

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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.