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Finding the Fourth Proportional to 22,805.63, 34,208.21 and 7,223.26

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Solution

The fourth proportional to 22,805.63, 34,208.21 and 7,223.26 is: 10,834.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,805.63 : 34,208.21 = 7,223.26 : x
  2. Step 2: Convert to fraction form
    22,805.63/34,208.21 = 7,223.26/x
  3. Step 3: Cross multiply
    22,805.63x = 34,208.21 × 7,223.26
  4. Step 4: Simplify right side
    22,805.63x = 247,094,727.50
  5. Step 5: Solve for x
    x = 247,094,727.50/22,805.63
  6. Step 6: Final answer
    x = 10,834.81

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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.