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Finding the Fourth Proportional to 20,572.54, 30,860.25 and 10,181.50

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Solution

The fourth proportional to 20,572.54, 30,860.25 and 10,181.50 is: 15,272.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,572.54 : 30,860.25 = 10,181.50 : x
  2. Step 2: Convert to fraction form
    20,572.54/30,860.25 = 10,181.50/x
  3. Step 3: Cross multiply
    20,572.54x = 30,860.25 × 10,181.50
  4. Step 4: Simplify right side
    20,572.54x = 314,203,635.38
  5. Step 5: Solve for x
    x = 314,203,635.38/20,572.54
  6. Step 6: Final answer
    x = 15,272.96

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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.