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Finding the Fourth Proportional to 12,376.86, 18,595.71 and 7,936.44

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Solution

The fourth proportional to 12,376.86, 18,595.71 and 7,936.44 is: 11,924.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,376.86 : 18,595.71 = 7,936.44 : x
  2. Step 2: Convert to fraction form
    12,376.86/18,595.71 = 7,936.44/x
  3. Step 3: Cross multiply
    12,376.86x = 18,595.71 × 7,936.44
  4. Step 4: Simplify right side
    12,376.86x = 147,583,736.67
  5. Step 5: Solve for x
    x = 147,583,736.67/12,376.86
  6. Step 6: Final answer
    x = 11,924.17

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Why These Related Problems?

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