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Finding the Fourth Proportional to 20,460, 30,684.87 and 14,519.56

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Solution

The fourth proportional to 20,460, 30,684.87 and 14,519.56 is: 21,775.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,460 : 30,684.87 = 14,519.56 : x
  2. Step 2: Convert to fraction form
    20,460/30,684.87 = 14,519.56/x
  3. Step 3: Cross multiply
    20,460x = 30,684.87 × 14,519.56
  4. Step 4: Simplify right side
    20,460x = 445,530,811.06
  5. Step 5: Solve for x
    x = 445,530,811.06/20,460
  6. Step 6: Final answer
    x = 21,775.70

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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.