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Finding the Fourth Proportional to 23,221.50, 34,838.02 and 6,805.50

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Solution

The fourth proportional to 23,221.50, 34,838.02 and 6,805.50 is: 10,209.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,221.50 : 34,838.02 = 6,805.50 : x
  2. Step 2: Convert to fraction form
    23,221.50/34,838.02 = 6,805.50/x
  3. Step 3: Cross multiply
    23,221.50x = 34,838.02 × 6,805.50
  4. Step 4: Simplify right side
    23,221.50x = 237,090,145.11
  5. Step 5: Solve for x
    x = 237,090,145.11/23,221.50
  6. Step 6: Final answer
    x = 10,209.94

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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.