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Finding the Fourth Proportional to 16,090.65, 24,141.24 and 7,660.78

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Solution

The fourth proportional to 16,090.65, 24,141.24 and 7,660.78 is: 11,493.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,090.65 : 24,141.24 = 7,660.78 : x
  2. Step 2: Convert to fraction form
    16,090.65/24,141.24 = 7,660.78/x
  3. Step 3: Cross multiply
    16,090.65x = 24,141.24 × 7,660.78
  4. Step 4: Simplify right side
    16,090.65x = 184,940,668.21
  5. Step 5: Solve for x
    x = 184,940,668.21/16,090.65
  6. Step 6: Final answer
    x = 11,493.67

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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.