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Finding the Fourth Proportional to 22,377.44, 30,884.01 and 12,820.25

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Solution

The fourth proportional to 22,377.44, 30,884.01 and 12,820.25 is: 17,693.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,377.44 : 30,884.01 = 12,820.25 : x
  2. Step 2: Convert to fraction form
    22,377.44/30,884.01 = 12,820.25/x
  3. Step 3: Cross multiply
    22,377.44x = 30,884.01 × 12,820.25
  4. Step 4: Simplify right side
    22,377.44x = 395,940,729.20
  5. Step 5: Solve for x
    x = 395,940,729.20/22,377.44
  6. Step 6: Final answer
    x = 17,693.75

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