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Finding the Fourth Proportional to 11,417.44, 17,129.76 and 4,021.60

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Solution

The fourth proportional to 11,417.44, 17,129.76 and 4,021.60 is: 6,033.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,417.44 : 17,129.76 = 4,021.60 : x
  2. Step 2: Convert to fraction form
    11,417.44/17,129.76 = 4,021.60/x
  3. Step 3: Cross multiply
    11,417.44x = 17,129.76 × 4,021.60
  4. Step 4: Simplify right side
    11,417.44x = 68,889,042.82
  5. Step 5: Solve for x
    x = 68,889,042.82/11,417.44
  6. Step 6: Final answer
    x = 6,033.67

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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.