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Finding the Fourth Proportional to 12,861.63, 17,725.37 and 10,609.83

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Solution

The fourth proportional to 12,861.63, 17,725.37 and 10,609.83 is: 14,622.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,861.63 : 17,725.37 = 10,609.83 : x
  2. Step 2: Convert to fraction form
    12,861.63/17,725.37 = 10,609.83/x
  3. Step 3: Cross multiply
    12,861.63x = 17,725.37 × 10,609.83
  4. Step 4: Simplify right side
    12,861.63x = 188,063,109.34
  5. Step 5: Solve for x
    x = 188,063,109.34/12,861.63
  6. Step 6: Final answer
    x = 14,622.03

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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.