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Finding the Fourth Proportional to 20,314.72, 30,422.90 and 14,057.20

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Solution

The fourth proportional to 20,314.72, 30,422.90 and 14,057.20 is: 21,051.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,314.72 : 30,422.90 = 14,057.20 : x
  2. Step 2: Convert to fraction form
    20,314.72/30,422.90 = 14,057.20/x
  3. Step 3: Cross multiply
    20,314.72x = 30,422.90 × 14,057.20
  4. Step 4: Simplify right side
    20,314.72x = 427,660,789.88
  5. Step 5: Solve for x
    x = 427,660,789.88/20,314.72
  6. Step 6: Final answer
    x = 21,051.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.