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Finding the Fourth Proportional to 22,681.62, 34,043.49 and 11,596.23

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Solution

The fourth proportional to 22,681.62, 34,043.49 and 11,596.23 is: 17,405.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,681.62 : 34,043.49 = 11,596.23 : x
  2. Step 2: Convert to fraction form
    22,681.62/34,043.49 = 11,596.23/x
  3. Step 3: Cross multiply
    22,681.62x = 34,043.49 × 11,596.23
  4. Step 4: Simplify right side
    22,681.62x = 394,776,140.04
  5. Step 5: Solve for x
    x = 394,776,140.04/22,681.62
  6. Step 6: Final answer
    x = 17,405.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.