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Finding the Fourth Proportional to 12,027.80, 18,009.30 and 9,414.20

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Solution

The fourth proportional to 12,027.80, 18,009.30 and 9,414.20 is: 14,095.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,027.80 : 18,009.30 = 9,414.20 : x
  2. Step 2: Convert to fraction form
    12,027.80/18,009.30 = 9,414.20/x
  3. Step 3: Cross multiply
    12,027.80x = 18,009.30 × 9,414.20
  4. Step 4: Simplify right side
    12,027.80x = 169,543,152.06
  5. Step 5: Solve for x
    x = 169,543,152.06/12,027.80
  6. Step 6: Final answer
    x = 14,095.94

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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.