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Finding the Fourth Proportional to 12,861.96, 17,749.02 and 7,273.08

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Solution

The fourth proportional to 12,861.96, 17,749.02 and 7,273.08 is: 10,036.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,861.96 : 17,749.02 = 7,273.08 : x
  2. Step 2: Convert to fraction form
    12,861.96/17,749.02 = 7,273.08/x
  3. Step 3: Cross multiply
    12,861.96x = 17,749.02 × 7,273.08
  4. Step 4: Simplify right side
    12,861.96x = 129,090,042.38
  5. Step 5: Solve for x
    x = 129,090,042.38/12,861.96
  6. Step 6: Final answer
    x = 10,036.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.