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Finding the Fourth Proportional to 23,136.50, 34,706.38 and 9,285.50

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Solution

The fourth proportional to 23,136.50, 34,706.38 and 9,285.50 is: 13,928.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,136.50 : 34,706.38 = 9,285.50 : x
  2. Step 2: Convert to fraction form
    23,136.50/34,706.38 = 9,285.50/x
  3. Step 3: Cross multiply
    23,136.50x = 34,706.38 × 9,285.50
  4. Step 4: Simplify right side
    23,136.50x = 322,266,091.49
  5. Step 5: Solve for x
    x = 322,266,091.49/23,136.50
  6. Step 6: Final answer
    x = 13,928.90

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Why These Related Problems?

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