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Finding the Fourth Proportional to 22,407.26, 30,922.38 and 12,848

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Solution

The fourth proportional to 22,407.26, 30,922.38 and 12,848 is: 17,730.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,407.26 : 30,922.38 = 12,848 : x
  2. Step 2: Convert to fraction form
    22,407.26/30,922.38 = 12,848/x
  3. Step 3: Cross multiply
    22,407.26x = 30,922.38 × 12,848
  4. Step 4: Simplify right side
    22,407.26x = 397,290,738.24
  5. Step 5: Solve for x
    x = 397,290,738.24/22,407.26
  6. Step 6: Final answer
    x = 17,730.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.