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Finding the Fourth Proportional to 12,023.88, 18,027.54 and 6,471.64

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Solution

The fourth proportional to 12,023.88, 18,027.54 and 6,471.64 is: 9,703.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,023.88 : 18,027.54 = 6,471.64 : x
  2. Step 2: Convert to fraction form
    12,023.88/18,027.54 = 6,471.64/x
  3. Step 3: Cross multiply
    12,023.88x = 18,027.54 × 6,471.64
  4. Step 4: Simplify right side
    12,023.88x = 116,667,748.97
  5. Step 5: Solve for x
    x = 116,667,748.97/12,023.88
  6. Step 6: Final answer
    x = 9,703.00

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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.