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Finding the Fourth Proportional to 12,056.65, 16,627.07 and 8,273.14

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Solution

The fourth proportional to 12,056.65, 16,627.07 and 8,273.14 is: 11,409.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,056.65 : 16,627.07 = 8,273.14 : x
  2. Step 2: Convert to fraction form
    12,056.65/16,627.07 = 8,273.14/x
  3. Step 3: Cross multiply
    12,056.65x = 16,627.07 × 8,273.14
  4. Step 4: Simplify right side
    12,056.65x = 137,558,077.90
  5. Step 5: Solve for x
    x = 137,558,077.90/12,056.65
  6. Step 6: Final answer
    x = 11,409.31

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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.