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Finding the Fourth Proportional to 20,157.52, 30,186 and 12,739.60

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Solution

The fourth proportional to 20,157.52, 30,186 and 12,739.60 is: 19,077.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,157.52 : 30,186 = 12,739.60 : x
  2. Step 2: Convert to fraction form
    20,157.52/30,186 = 12,739.60/x
  3. Step 3: Cross multiply
    20,157.52x = 30,186 × 12,739.60
  4. Step 4: Simplify right side
    20,157.52x = 384,557,565.60
  5. Step 5: Solve for x
    x = 384,557,565.60/20,157.52
  6. Step 6: Final answer
    x = 19,077.62

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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.