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Finding the Fourth Proportional to 12,009.56, 16,568.43 and 8,024.36

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Solution

The fourth proportional to 12,009.56, 16,568.43 and 8,024.36 is: 11,070.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,009.56 : 16,568.43 = 8,024.36 : x
  2. Step 2: Convert to fraction form
    12,009.56/16,568.43 = 8,024.36/x
  3. Step 3: Cross multiply
    12,009.56x = 16,568.43 × 8,024.36
  4. Step 4: Simplify right side
    12,009.56x = 132,951,046.95
  5. Step 5: Solve for x
    x = 132,951,046.95/12,009.56
  6. Step 6: Final answer
    x = 11,070.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.