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Finding the Fourth Proportional to 22,459.57, 30,994.44 and 12,388.43

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Solution

The fourth proportional to 22,459.57, 30,994.44 and 12,388.43 is: 17,096.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,459.57 : 30,994.44 = 12,388.43 : x
  2. Step 2: Convert to fraction form
    22,459.57/30,994.44 = 12,388.43/x
  3. Step 3: Cross multiply
    22,459.57x = 30,994.44 × 12,388.43
  4. Step 4: Simplify right side
    22,459.57x = 383,972,450.33
  5. Step 5: Solve for x
    x = 383,972,450.33/22,459.57
  6. Step 6: Final answer
    x = 17,096.16

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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.