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Finding the Fourth Proportional to 20,500.84, 30,751.26 and 11,741.32

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Solution

The fourth proportional to 20,500.84, 30,751.26 and 11,741.32 is: 17,611.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,500.84 : 30,751.26 = 11,741.32 : x
  2. Step 2: Convert to fraction form
    20,500.84/30,751.26 = 11,741.32/x
  3. Step 3: Cross multiply
    20,500.84x = 30,751.26 × 11,741.32
  4. Step 4: Simplify right side
    20,500.84x = 361,060,384.06
  5. Step 5: Solve for x
    x = 361,060,384.06/20,500.84
  6. Step 6: Final answer
    x = 17,611.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.