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Finding the Fourth Proportional to 12,009.94, 16,575.37 and 6,705.05

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Solution

The fourth proportional to 12,009.94, 16,575.37 and 6,705.05 is: 9,253.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,009.94 : 16,575.37 = 6,705.05 : x
  2. Step 2: Convert to fraction form
    12,009.94/16,575.37 = 6,705.05/x
  3. Step 3: Cross multiply
    12,009.94x = 16,575.37 × 6,705.05
  4. Step 4: Simplify right side
    12,009.94x = 111,138,584.98
  5. Step 5: Solve for x
    x = 111,138,584.98/12,009.94
  6. Step 6: Final answer
    x = 9,253.89

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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.