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Finding the Fourth Proportional to 22,023.78, 30,380.10 and 14,057.03

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Solution

The fourth proportional to 22,023.78, 30,380.10 and 14,057.03 is: 19,390.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,023.78 : 30,380.10 = 14,057.03 : x
  2. Step 2: Convert to fraction form
    22,023.78/30,380.10 = 14,057.03/x
  3. Step 3: Cross multiply
    22,023.78x = 30,380.10 × 14,057.03
  4. Step 4: Simplify right side
    22,023.78x = 427,053,825.20
  5. Step 5: Solve for x
    x = 427,053,825.20/22,023.78
  6. Step 6: Final answer
    x = 19,390.58

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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.