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Finding the Fourth Proportional to 14,021.73, 19,352.09 and 8,991.63

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Solution

The fourth proportional to 14,021.73, 19,352.09 and 8,991.63 is: 12,409.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,021.73 : 19,352.09 = 8,991.63 : x
  2. Step 2: Convert to fraction form
    14,021.73/19,352.09 = 8,991.63/x
  3. Step 3: Cross multiply
    14,021.73x = 19,352.09 × 8,991.63
  4. Step 4: Simplify right side
    14,021.73x = 174,006,833.01
  5. Step 5: Solve for x
    x = 174,006,833.01/14,021.73
  6. Step 6: Final answer
    x = 12,409.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.