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Finding the Fourth Proportional to 12,586.51, 18,857.89 and 6,732.64

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Solution

The fourth proportional to 12,586.51, 18,857.89 and 6,732.64 is: 10,087.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,586.51 : 18,857.89 = 6,732.64 : x
  2. Step 2: Convert to fraction form
    12,586.51/18,857.89 = 6,732.64/x
  3. Step 3: Cross multiply
    12,586.51x = 18,857.89 × 6,732.64
  4. Step 4: Simplify right side
    12,586.51x = 126,963,384.53
  5. Step 5: Solve for x
    x = 126,963,384.53/12,586.51
  6. Step 6: Final answer
    x = 10,087.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.