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Finding the Fourth Proportional to 21,223.44, 31,821.12 and 7,369.20

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Solution

The fourth proportional to 21,223.44, 31,821.12 and 7,369.20 is: 11,048.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,223.44 : 31,821.12 = 7,369.20 : x
  2. Step 2: Convert to fraction form
    21,223.44/31,821.12 = 7,369.20/x
  3. Step 3: Cross multiply
    21,223.44x = 31,821.12 × 7,369.20
  4. Step 4: Simplify right side
    21,223.44x = 234,496,197.50
  5. Step 5: Solve for x
    x = 234,496,197.50/21,223.44
  6. Step 6: Final answer
    x = 11,048.93

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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.