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Finding the Fourth Proportional to 12,861.56, 17,749.06 and 7,556.46

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Solution

The fourth proportional to 12,861.56, 17,749.06 and 7,556.46 is: 10,427.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,861.56 : 17,749.06 = 7,556.46 : x
  2. Step 2: Convert to fraction form
    12,861.56/17,749.06 = 7,556.46/x
  3. Step 3: Cross multiply
    12,861.56x = 17,749.06 × 7,556.46
  4. Step 4: Simplify right side
    12,861.56x = 134,120,061.93
  5. Step 5: Solve for x
    x = 134,120,061.93/12,861.56
  6. Step 6: Final answer
    x = 10,427.98

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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.