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Finding the Fourth Proportional to 12,276, 18,414 and 4,068

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Solution

The fourth proportional to 12,276, 18,414 and 4,068 is: 6,102

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,276 : 18,414 = 4,068 : x
  2. Step 2: Convert to fraction form
    12,276/18,414 = 4,068/x
  3. Step 3: Cross multiply
    12,276x = 18,414 × 4,068
  4. Step 4: Simplify right side
    12,276x = 74,908,152
  5. Step 5: Solve for x
    x = 74,908,152/12,276
  6. Step 6: Final answer
    x = 6,102

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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.