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Finding the Fourth Proportional to 20,884, 28,821.88 and 11,931.54

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Solution

The fourth proportional to 20,884, 28,821.88 and 11,931.54 is: 16,466.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,884 : 28,821.88 = 11,931.54 : x
  2. Step 2: Convert to fraction form
    20,884/28,821.88 = 11,931.54/x
  3. Step 3: Cross multiply
    20,884x = 28,821.88 × 11,931.54
  4. Step 4: Simplify right side
    20,884x = 343,889,414.10
  5. Step 5: Solve for x
    x = 343,889,414.10/20,884
  6. Step 6: Final answer
    x = 16,466.64

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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.