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Finding the Fourth Proportional to 22,206.23, 30,646.73 and 12,136.21

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Solution

The fourth proportional to 22,206.23, 30,646.73 and 12,136.21 is: 16,749.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,206.23 : 30,646.73 = 12,136.21 : x
  2. Step 2: Convert to fraction form
    22,206.23/30,646.73 = 12,136.21/x
  3. Step 3: Cross multiply
    22,206.23x = 30,646.73 × 12,136.21
  4. Step 4: Simplify right side
    22,206.23x = 371,935,151.09
  5. Step 5: Solve for x
    x = 371,935,151.09/22,206.23
  6. Step 6: Final answer
    x = 16,749.14

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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.