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Finding the Fourth Proportional to 20,131.54, 30,189.75 and 6,980.74

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Solution

The fourth proportional to 20,131.54, 30,189.75 and 6,980.74 is: 10,468.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,131.54 : 30,189.75 = 6,980.74 : x
  2. Step 2: Convert to fraction form
    20,131.54/30,189.75 = 6,980.74/x
  3. Step 3: Cross multiply
    20,131.54x = 30,189.75 × 6,980.74
  4. Step 4: Simplify right side
    20,131.54x = 210,746,795.42
  5. Step 5: Solve for x
    x = 210,746,795.42/20,131.54
  6. Step 6: Final answer
    x = 10,468.49

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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.