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Finding the Fourth Proportional to 16,193.50, 22,356.75 and 10,614.22

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Solution

The fourth proportional to 16,193.50, 22,356.75 and 10,614.22 is: 14,653.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,193.50 : 22,356.75 = 10,614.22 : x
  2. Step 2: Convert to fraction form
    16,193.50/22,356.75 = 10,614.22/x
  3. Step 3: Cross multiply
    16,193.50x = 22,356.75 × 10,614.22
  4. Step 4: Simplify right side
    16,193.50x = 237,299,462.99
  5. Step 5: Solve for x
    x = 237,299,462.99/16,193.50
  6. Step 6: Final answer
    x = 14,653.99

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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.