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Finding the Fourth Proportional to 12,157.02, 18,273.59 and 8,023.59

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Solution

The fourth proportional to 12,157.02, 18,273.59 and 8,023.59 is: 12,060.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,157.02 : 18,273.59 = 8,023.59 : x
  2. Step 2: Convert to fraction form
    12,157.02/18,273.59 = 8,023.59/x
  3. Step 3: Cross multiply
    12,157.02x = 18,273.59 × 8,023.59
  4. Step 4: Simplify right side
    12,157.02x = 146,619,793.99
  5. Step 5: Solve for x
    x = 146,619,793.99/12,157.02
  6. Step 6: Final answer
    x = 12,060.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.