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Finding the Fourth Proportional to 23,223.50, 34,841.02 and 6,807.50

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Solution

The fourth proportional to 23,223.50, 34,841.02 and 6,807.50 is: 10,212.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,223.50 : 34,841.02 = 6,807.50 : x
  2. Step 2: Convert to fraction form
    23,223.50/34,841.02 = 6,807.50/x
  3. Step 3: Cross multiply
    23,223.50x = 34,841.02 × 6,807.50
  4. Step 4: Simplify right side
    23,223.50x = 237,180,243.65
  5. Step 5: Solve for x
    x = 237,180,243.65/23,223.50
  6. Step 6: Final answer
    x = 10,212.94

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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.