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Finding the Fourth Proportional to 12,009.66, 16,573.17 and 6,704.56

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Solution

The fourth proportional to 12,009.66, 16,573.17 and 6,704.56 is: 9,252.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,009.66 : 16,573.17 = 6,704.56 : x
  2. Step 2: Convert to fraction form
    12,009.66/16,573.17 = 6,704.56/x
  3. Step 3: Cross multiply
    12,009.66x = 16,573.17 × 6,704.56
  4. Step 4: Simplify right side
    12,009.66x = 111,115,812.66
  5. Step 5: Solve for x
    x = 111,115,812.66/12,009.66
  6. Step 6: Final answer
    x = 9,252.21

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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.