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Finding the Fourth Proportional to 14,102.99, 21,161.38 and 9,969.56

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Solution

The fourth proportional to 14,102.99, 21,161.38 and 9,969.56 is: 14,959.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,102.99 : 21,161.38 = 9,969.56 : x
  2. Step 2: Convert to fraction form
    14,102.99/21,161.38 = 9,969.56/x
  3. Step 3: Cross multiply
    14,102.99x = 21,161.38 × 9,969.56
  4. Step 4: Simplify right side
    14,102.99x = 210,969,647.59
  5. Step 5: Solve for x
    x = 210,969,647.59/14,102.99
  6. Step 6: Final answer
    x = 14,959.21

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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.