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Finding the Fourth Proportional to 22,003.32, 30,361.86 and 14,050.20

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Solution

The fourth proportional to 22,003.32, 30,361.86 and 14,050.20 is: 19,387.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,003.32 : 30,361.86 = 14,050.20 : x
  2. Step 2: Convert to fraction form
    22,003.32/30,361.86 = 14,050.20/x
  3. Step 3: Cross multiply
    22,003.32x = 30,361.86 × 14,050.20
  4. Step 4: Simplify right side
    22,003.32x = 426,590,205.37
  5. Step 5: Solve for x
    x = 426,590,205.37/22,003.32
  6. Step 6: Final answer
    x = 19,387.54

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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.