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Finding the Fourth Proportional to 20,214.83, 27,894.33 and 12,452.40

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Solution

The fourth proportional to 20,214.83, 27,894.33 and 12,452.40 is: 17,183.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,214.83 : 27,894.33 = 12,452.40 : x
  2. Step 2: Convert to fraction form
    20,214.83/27,894.33 = 12,452.40/x
  3. Step 3: Cross multiply
    20,214.83x = 27,894.33 × 12,452.40
  4. Step 4: Simplify right side
    20,214.83x = 347,351,354.89
  5. Step 5: Solve for x
    x = 347,351,354.89/20,214.83
  6. Step 6: Final answer
    x = 17,183.00

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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.