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Finding the Fourth Proportional to 19,816.64, 29,725.83 and 8,128.88

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Solution

The fourth proportional to 19,816.64, 29,725.83 and 8,128.88 is: 12,193.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,816.64 : 29,725.83 = 8,128.88 : x
  2. Step 2: Convert to fraction form
    19,816.64/29,725.83 = 8,128.88/x
  3. Step 3: Cross multiply
    19,816.64x = 29,725.83 × 8,128.88
  4. Step 4: Simplify right side
    19,816.64x = 241,637,556.34
  5. Step 5: Solve for x
    x = 241,637,556.34/19,816.64
  6. Step 6: Final answer
    x = 12,193.67

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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.