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Finding the Fourth Proportional to 12,072.56, 16,642.69 and 8,476.57

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Solution

The fourth proportional to 12,072.56, 16,642.69 and 8,476.57 is: 11,685.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,072.56 : 16,642.69 = 8,476.57 : x
  2. Step 2: Convert to fraction form
    12,072.56/16,642.69 = 8,476.57/x
  3. Step 3: Cross multiply
    12,072.56x = 16,642.69 × 8,476.57
  4. Step 4: Simplify right side
    12,072.56x = 141,072,926.77
  5. Step 5: Solve for x
    x = 141,072,926.77/12,072.56
  6. Step 6: Final answer
    x = 11,685.42

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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.