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Finding the Fourth Proportional to 20,858.12, 28,774.58 and 12,021

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Solution

The fourth proportional to 20,858.12, 28,774.58 and 12,021 is: 16,583.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,858.12 : 28,774.58 = 12,021 : x
  2. Step 2: Convert to fraction form
    20,858.12/28,774.58 = 12,021/x
  3. Step 3: Cross multiply
    20,858.12x = 28,774.58 × 12,021
  4. Step 4: Simplify right side
    20,858.12x = 345,899,226.18
  5. Step 5: Solve for x
    x = 345,899,226.18/20,858.12
  6. Step 6: Final answer
    x = 16,583.43

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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.