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Finding the Fourth Proportional to 20,299.42, 30,460.02 and 8,461.39

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Solution

The fourth proportional to 20,299.42, 30,460.02 and 8,461.39 is: 12,696.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,299.42 : 30,460.02 = 8,461.39 : x
  2. Step 2: Convert to fraction form
    20,299.42/30,460.02 = 8,461.39/x
  3. Step 3: Cross multiply
    20,299.42x = 30,460.02 × 8,461.39
  4. Step 4: Simplify right side
    20,299.42x = 257,734,108.63
  5. Step 5: Solve for x
    x = 257,734,108.63/20,299.42
  6. Step 6: Final answer
    x = 12,696.62

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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.