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Finding the Fourth Proportional to 22,563.69, 31,136.87 and 12,491.42

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Solution

The fourth proportional to 22,563.69, 31,136.87 and 12,491.42 is: 17,237.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,563.69 : 31,136.87 = 12,491.42 : x
  2. Step 2: Convert to fraction form
    22,563.69/31,136.87 = 12,491.42/x
  3. Step 3: Cross multiply
    22,563.69x = 31,136.87 × 12,491.42
  4. Step 4: Simplify right side
    22,563.69x = 388,943,502.51
  5. Step 5: Solve for x
    x = 388,943,502.51/22,563.69
  6. Step 6: Final answer
    x = 17,237.58

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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.