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Finding the Fourth Proportional to 20,800.28, 28,704.60 and 11,369

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Solution

The fourth proportional to 20,800.28, 28,704.60 and 11,369 is: 15,689.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,800.28 : 28,704.60 = 11,369 : x
  2. Step 2: Convert to fraction form
    20,800.28/28,704.60 = 11,369/x
  3. Step 3: Cross multiply
    20,800.28x = 28,704.60 × 11,369
  4. Step 4: Simplify right side
    20,800.28x = 326,342,597.40
  5. Step 5: Solve for x
    x = 326,342,597.40/20,800.28
  6. Step 6: Final answer
    x = 15,689.34

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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.