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Finding the Fourth Proportional to 16,136.40, 22,273.68 and 10,178

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Solution

The fourth proportional to 16,136.40, 22,273.68 and 10,178 is: 14,049.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,136.40 : 22,273.68 = 10,178 : x
  2. Step 2: Convert to fraction form
    16,136.40/22,273.68 = 10,178/x
  3. Step 3: Cross multiply
    16,136.40x = 22,273.68 × 10,178
  4. Step 4: Simplify right side
    16,136.40x = 226,701,515.04
  5. Step 5: Solve for x
    x = 226,701,515.04/16,136.40
  6. Step 6: Final answer
    x = 14,049.08

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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.