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Finding the Fourth Proportional to 20,768.41, 31,133.17 and 11,514.97

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Solution

The fourth proportional to 20,768.41, 31,133.17 and 11,514.97 is: 17,261.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,768.41 : 31,133.17 = 11,514.97 : x
  2. Step 2: Convert to fraction form
    20,768.41/31,133.17 = 11,514.97/x
  3. Step 3: Cross multiply
    20,768.41x = 31,133.17 × 11,514.97
  4. Step 4: Simplify right side
    20,768.41x = 358,497,411.93
  5. Step 5: Solve for x
    x = 358,497,411.93/20,768.41
  6. Step 6: Final answer
    x = 17,261.67

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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.