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Finding the Fourth Proportional to 23,136.80, 34,700 and 10,644.84

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Solution

The fourth proportional to 23,136.80, 34,700 and 10,644.84 is: 15,964.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,136.80 : 34,700 = 10,644.84 : x
  2. Step 2: Convert to fraction form
    23,136.80/34,700 = 10,644.84/x
  3. Step 3: Cross multiply
    23,136.80x = 34,700 × 10,644.84
  4. Step 4: Simplify right side
    23,136.80x = 369,375,948
  5. Step 5: Solve for x
    x = 369,375,948/23,136.80
  6. Step 6: Final answer
    x = 15,964.87

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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.