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Finding the Fourth Proportional to 13,609.34, 20,415.62 and 8,341.91

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Solution

The fourth proportional to 13,609.34, 20,415.62 and 8,341.91 is: 12,513.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,609.34 : 20,415.62 = 8,341.91 : x
  2. Step 2: Convert to fraction form
    13,609.34/20,415.62 = 8,341.91/x
  3. Step 3: Cross multiply
    13,609.34x = 20,415.62 × 8,341.91
  4. Step 4: Simplify right side
    13,609.34x = 170,305,120.85
  5. Step 5: Solve for x
    x = 170,305,120.85/13,609.34
  6. Step 6: Final answer
    x = 12,513.85

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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.