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Finding the Fourth Proportional to 20,284.96, 30,427.44 and 11,400.88

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Solution

The fourth proportional to 20,284.96, 30,427.44 and 11,400.88 is: 17,101.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,284.96 : 30,427.44 = 11,400.88 : x
  2. Step 2: Convert to fraction form
    20,284.96/30,427.44 = 11,400.88/x
  3. Step 3: Cross multiply
    20,284.96x = 30,427.44 × 11,400.88
  4. Step 4: Simplify right side
    20,284.96x = 346,899,592.15
  5. Step 5: Solve for x
    x = 346,899,592.15/20,284.96
  6. Step 6: Final answer
    x = 17,101.32

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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.