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Finding the Fourth Proportional to 20,906.25, 28,849.58 and 12,408.74

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Solution

The fourth proportional to 20,906.25, 28,849.58 and 12,408.74 is: 17,123.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,906.25 : 28,849.58 = 12,408.74 : x
  2. Step 2: Convert to fraction form
    20,906.25/28,849.58 = 12,408.74/x
  3. Step 3: Cross multiply
    20,906.25x = 28,849.58 × 12,408.74
  4. Step 4: Simplify right side
    20,906.25x = 357,986,937.33
  5. Step 5: Solve for x
    x = 357,986,937.33/20,906.25
  6. Step 6: Final answer
    x = 17,123.44

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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.