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Finding the Fourth Proportional to 12,862.26, 17,748.32 and 7,556.96

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Solution

The fourth proportional to 12,862.26, 17,748.32 and 7,556.96 is: 10,427.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,862.26 : 17,748.32 = 7,556.96 : x
  2. Step 2: Convert to fraction form
    12,862.26/17,748.32 = 7,556.96/x
  3. Step 3: Cross multiply
    12,862.26x = 17,748.32 × 7,556.96
  4. Step 4: Simplify right side
    12,862.26x = 134,123,350.89
  5. Step 5: Solve for x
    x = 134,123,350.89/12,862.26
  6. Step 6: Final answer
    x = 10,427.67

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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.