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Finding the Fourth Proportional to 20,452.63, 30,678.98 and 5,661.59

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Solution

The fourth proportional to 20,452.63, 30,678.98 and 5,661.59 is: 8,492.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,452.63 : 30,678.98 = 5,661.59 : x
  2. Step 2: Convert to fraction form
    20,452.63/30,678.98 = 5,661.59/x
  3. Step 3: Cross multiply
    20,452.63x = 30,678.98 × 5,661.59
  4. Step 4: Simplify right side
    20,452.63x = 173,691,652.98
  5. Step 5: Solve for x
    x = 173,691,652.98/20,452.63
  6. Step 6: Final answer
    x = 8,492.39

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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.