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Finding the Fourth Proportional to 20,098.52, 27,749.70 and 12,556.34

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Solution

The fourth proportional to 20,098.52, 27,749.70 and 12,556.34 is: 17,336.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,098.52 : 27,749.70 = 12,556.34 : x
  2. Step 2: Convert to fraction form
    20,098.52/27,749.70 = 12,556.34/x
  3. Step 3: Cross multiply
    20,098.52x = 27,749.70 × 12,556.34
  4. Step 4: Simplify right side
    20,098.52x = 348,434,668.10
  5. Step 5: Solve for x
    x = 348,434,668.10/20,098.52
  6. Step 6: Final answer
    x = 17,336.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.