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Finding the Fourth Proportional to 23,206.62, 34,838.86 and 23,100

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Solution

The fourth proportional to 23,206.62, 34,838.86 and 23,100 is: 34,678.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,206.62 : 34,838.86 = 23,100 : x
  2. Step 2: Convert to fraction form
    23,206.62/34,838.86 = 23,100/x
  3. Step 3: Cross multiply
    23,206.62x = 34,838.86 × 23,100
  4. Step 4: Simplify right side
    23,206.62x = 804,777,666
  5. Step 5: Solve for x
    x = 804,777,666/23,206.62
  6. Step 6: Final answer
    x = 34,678.80

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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.