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Finding the Fourth Proportional to 12,096.82, 16,694.04 and 7,064.26

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Solution

The fourth proportional to 12,096.82, 16,694.04 and 7,064.26 is: 9,748.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,096.82 : 16,694.04 = 7,064.26 : x
  2. Step 2: Convert to fraction form
    12,096.82/16,694.04 = 7,064.26/x
  3. Step 3: Cross multiply
    12,096.82x = 16,694.04 × 7,064.26
  4. Step 4: Simplify right side
    12,096.82x = 117,931,039.01
  5. Step 5: Solve for x
    x = 117,931,039.01/12,096.82
  6. Step 6: Final answer
    x = 9,748.93

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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.