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Finding the Fourth Proportional to 16,208.29, 22,369.53 and 9,136.99

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Solution

The fourth proportional to 16,208.29, 22,369.53 and 9,136.99 is: 12,610.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,208.29 : 22,369.53 = 9,136.99 : x
  2. Step 2: Convert to fraction form
    16,208.29/22,369.53 = 9,136.99/x
  3. Step 3: Cross multiply
    16,208.29x = 22,369.53 × 9,136.99
  4. Step 4: Simplify right side
    16,208.29x = 204,390,171.91
  5. Step 5: Solve for x
    x = 204,390,171.91/16,208.29
  6. Step 6: Final answer
    x = 12,610.22

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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.