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Finding the Fourth Proportional to 22,758.49, 34,136.67 and 7,970.72

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Solution

The fourth proportional to 22,758.49, 34,136.67 and 7,970.72 is: 11,955.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,758.49 : 34,136.67 = 7,970.72 : x
  2. Step 2: Convert to fraction form
    22,758.49/34,136.67 = 7,970.72/x
  3. Step 3: Cross multiply
    22,758.49x = 34,136.67 × 7,970.72
  4. Step 4: Simplify right side
    22,758.49x = 272,093,838.30
  5. Step 5: Solve for x
    x = 272,093,838.30/22,758.49
  6. Step 6: Final answer
    x = 11,955.71

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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.