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Finding the Fourth Proportional to 12,077.44, 16,661.19 and 8,542.60

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Solution

The fourth proportional to 12,077.44, 16,661.19 and 8,542.60 is: 11,784.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,077.44 : 16,661.19 = 8,542.60 : x
  2. Step 2: Convert to fraction form
    12,077.44/16,661.19 = 8,542.60/x
  3. Step 3: Cross multiply
    12,077.44x = 16,661.19 × 8,542.60
  4. Step 4: Simplify right side
    12,077.44x = 142,329,872.08
  5. Step 5: Solve for x
    x = 142,329,872.08/12,077.44
  6. Step 6: Final answer
    x = 11,784.77

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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.