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Finding the Fourth Proportional to 20,174.02, 30,261.03 and 5,382.99

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Solution

The fourth proportional to 20,174.02, 30,261.03 and 5,382.99 is: 8,074.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,174.02 : 30,261.03 = 5,382.99 : x
  2. Step 2: Convert to fraction form
    20,174.02/30,261.03 = 5,382.99/x
  3. Step 3: Cross multiply
    20,174.02x = 30,261.03 × 5,382.99
  4. Step 4: Simplify right side
    20,174.02x = 162,894,719.31
  5. Step 5: Solve for x
    x = 162,894,719.31/20,174.02
  6. Step 6: Final answer
    x = 8,074.48

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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.