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Finding the Fourth Proportional to 20,677, 28,534.26 and 11,245.77

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Solution

The fourth proportional to 20,677, 28,534.26 and 11,245.77 is: 15,519.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,677 : 28,534.26 = 11,245.77 : x
  2. Step 2: Convert to fraction form
    20,677/28,534.26 = 11,245.77/x
  3. Step 3: Cross multiply
    20,677x = 28,534.26 × 11,245.77
  4. Step 4: Simplify right side
    20,677x = 320,889,725.08
  5. Step 5: Solve for x
    x = 320,889,725.08/20,677
  6. Step 6: Final answer
    x = 15,519.16

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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.