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Finding the Fourth Proportional to 13,676.58, 20,521.03 and 8,419.58

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Solution

The fourth proportional to 13,676.58, 20,521.03 and 8,419.58 is: 12,633.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,676.58 : 20,521.03 = 8,419.58 : x
  2. Step 2: Convert to fraction form
    13,676.58/20,521.03 = 8,419.58/x
  3. Step 3: Cross multiply
    13,676.58x = 20,521.03 × 8,419.58
  4. Step 4: Simplify right side
    13,676.58x = 172,778,453.77
  5. Step 5: Solve for x
    x = 172,778,453.77/13,676.58
  6. Step 6: Final answer
    x = 12,633.16

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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.