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Finding the Fourth Proportional to 16,136.90, 22,274.37 and 10,178.50

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Solution

The fourth proportional to 16,136.90, 22,274.37 and 10,178.50 is: 14,049.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,136.90 : 22,274.37 = 10,178.50 : x
  2. Step 2: Convert to fraction form
    16,136.90/22,274.37 = 10,178.50/x
  3. Step 3: Cross multiply
    16,136.90x = 22,274.37 × 10,178.50
  4. Step 4: Simplify right side
    16,136.90x = 226,719,675.05
  5. Step 5: Solve for x
    x = 226,719,675.05/16,136.90
  6. Step 6: Final answer
    x = 14,049.77

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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.