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Finding the Fourth Proportional to 20,473.76, 30,697.86 and 11,696.60

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Solution

The fourth proportional to 20,473.76, 30,697.86 and 11,696.60 is: 17,537.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,473.76 : 30,697.86 = 11,696.60 : x
  2. Step 2: Convert to fraction form
    20,473.76/30,697.86 = 11,696.60/x
  3. Step 3: Cross multiply
    20,473.76x = 30,697.86 × 11,696.60
  4. Step 4: Simplify right side
    20,473.76x = 359,060,589.28
  5. Step 5: Solve for x
    x = 359,060,589.28/20,473.76
  6. Step 6: Final answer
    x = 17,537.60

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Why These Related Problems?

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