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Finding the Fourth Proportional to 22,720, 34,093.44 and 9,571.52

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Solution

The fourth proportional to 22,720, 34,093.44 and 9,571.52 is: 14,362.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,720 : 34,093.44 = 9,571.52 : x
  2. Step 2: Convert to fraction form
    22,720/34,093.44 = 9,571.52/x
  3. Step 3: Cross multiply
    22,720x = 34,093.44 × 9,571.52
  4. Step 4: Simplify right side
    22,720x = 326,326,042.83
  5. Step 5: Solve for x
    x = 326,326,042.83/22,720
  6. Step 6: Final answer
    x = 14,362.94

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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.