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Finding the Fourth Proportional to 20,899.85, 28,841.40 and 11,825.08

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Solution

The fourth proportional to 20,899.85, 28,841.40 and 11,825.08 is: 16,318.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,899.85 : 28,841.40 = 11,825.08 : x
  2. Step 2: Convert to fraction form
    20,899.85/28,841.40 = 11,825.08/x
  3. Step 3: Cross multiply
    20,899.85x = 28,841.40 × 11,825.08
  4. Step 4: Simplify right side
    20,899.85x = 341,051,790.21
  5. Step 5: Solve for x
    x = 341,051,790.21/20,899.85
  6. Step 6: Final answer
    x = 16,318.39

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Why These Related Problems?

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