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Finding the Fourth Proportional to 20,071.74, 30,112.02 and 6,744.24

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Solution

The fourth proportional to 20,071.74, 30,112.02 and 6,744.24 is: 10,117.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,071.74 : 30,112.02 = 6,744.24 : x
  2. Step 2: Convert to fraction form
    20,071.74/30,112.02 = 6,744.24/x
  3. Step 3: Cross multiply
    20,071.74x = 30,112.02 × 6,744.24
  4. Step 4: Simplify right side
    20,071.74x = 203,082,689.76
  5. Step 5: Solve for x
    x = 203,082,689.76/20,071.74
  6. Step 6: Final answer
    x = 10,117.84

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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.