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Finding the Fourth Proportional to 11,556.30, 17,334.93 and 9,622.14

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Solution

The fourth proportional to 11,556.30, 17,334.93 and 9,622.14 is: 14,433.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,556.30 : 17,334.93 = 9,622.14 : x
  2. Step 2: Convert to fraction form
    11,556.30/17,334.93 = 9,622.14/x
  3. Step 3: Cross multiply
    11,556.30x = 17,334.93 × 9,622.14
  4. Step 4: Simplify right side
    11,556.30x = 166,799,123.35
  5. Step 5: Solve for x
    x = 166,799,123.35/11,556.30
  6. Step 6: Final answer
    x = 14,433.61

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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.