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Finding the Fourth Proportional to 12,627.84, 18,936 and 8,178.24

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Solution

The fourth proportional to 12,627.84, 18,936 and 8,178.24 is: 12,263.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,627.84 : 18,936 = 8,178.24 : x
  2. Step 2: Convert to fraction form
    12,627.84/18,936 = 8,178.24/x
  3. Step 3: Cross multiply
    12,627.84x = 18,936 × 8,178.24
  4. Step 4: Simplify right side
    12,627.84x = 154,863,152.64
  5. Step 5: Solve for x
    x = 154,863,152.64/12,627.84
  6. Step 6: Final answer
    x = 12,263.63

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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.