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Finding the Fourth Proportional to 20,443.75, 30,665.54 and 5,652.63

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Solution

The fourth proportional to 20,443.75, 30,665.54 and 5,652.63 is: 8,478.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,443.75 : 30,665.54 = 5,652.63 : x
  2. Step 2: Convert to fraction form
    20,443.75/30,665.54 = 5,652.63/x
  3. Step 3: Cross multiply
    20,443.75x = 30,665.54 × 5,652.63
  4. Step 4: Simplify right side
    20,443.75x = 173,340,965.50
  5. Step 5: Solve for x
    x = 173,340,965.50/20,443.75
  6. Step 6: Final answer
    x = 8,478.92

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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.