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Finding the Fourth Proportional to 20,774.33, 28,682.28 and 12,828.23

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Solution

The fourth proportional to 20,774.33, 28,682.28 and 12,828.23 is: 17,711.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,774.33 : 28,682.28 = 12,828.23 : x
  2. Step 2: Convert to fraction form
    20,774.33/28,682.28 = 12,828.23/x
  3. Step 3: Cross multiply
    20,774.33x = 28,682.28 × 12,828.23
  4. Step 4: Simplify right side
    20,774.33x = 367,942,741.35
  5. Step 5: Solve for x
    x = 367,942,741.35/20,774.33
  6. Step 6: Final answer
    x = 17,711.42

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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.