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Finding the Fourth Proportional to 19,610.37, 29,416.73 and 6,462.86

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Solution

The fourth proportional to 19,610.37, 29,416.73 and 6,462.86 is: 9,694.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,610.37 : 29,416.73 = 6,462.86 : x
  2. Step 2: Convert to fraction form
    19,610.37/29,416.73 = 6,462.86/x
  3. Step 3: Cross multiply
    19,610.37x = 29,416.73 × 6,462.86
  4. Step 4: Simplify right side
    19,610.37x = 190,116,028.25
  5. Step 5: Solve for x
    x = 190,116,028.25/19,610.37
  6. Step 6: Final answer
    x = 9,694.67

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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.