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Finding the Fourth Proportional to 20,938.05, 28,894.19 and 11,506.41

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Solution

The fourth proportional to 20,938.05, 28,894.19 and 11,506.41 is: 15,878.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,938.05 : 28,894.19 = 11,506.41 : x
  2. Step 2: Convert to fraction form
    20,938.05/28,894.19 = 11,506.41/x
  3. Step 3: Cross multiply
    20,938.05x = 28,894.19 × 11,506.41
  4. Step 4: Simplify right side
    20,938.05x = 332,468,339.23
  5. Step 5: Solve for x
    x = 332,468,339.23/20,938.05
  6. Step 6: Final answer
    x = 15,878.67

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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.