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Finding the Fourth Proportional to 13,676.30, 20,504.16 and 5,788.04

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Solution

The fourth proportional to 13,676.30, 20,504.16 and 5,788.04 is: 8,677.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,676.30 : 20,504.16 = 5,788.04 : x
  2. Step 2: Convert to fraction form
    13,676.30/20,504.16 = 5,788.04/x
  3. Step 3: Cross multiply
    13,676.30x = 20,504.16 × 5,788.04
  4. Step 4: Simplify right side
    13,676.30x = 118,678,898.25
  5. Step 5: Solve for x
    x = 118,678,898.25/13,676.30
  6. Step 6: Final answer
    x = 8,677.71

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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.