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Finding the Fourth Proportional to 12,045.82, 18,072.38 and 8,542.60

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Solution

The fourth proportional to 12,045.82, 18,072.38 and 8,542.60 is: 12,816.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,045.82 : 18,072.38 = 8,542.60 : x
  2. Step 2: Convert to fraction form
    12,045.82/18,072.38 = 8,542.60/x
  3. Step 3: Cross multiply
    12,045.82x = 18,072.38 × 8,542.60
  4. Step 4: Simplify right side
    12,045.82x = 154,385,113.39
  5. Step 5: Solve for x
    x = 154,385,113.39/12,045.82
  6. Step 6: Final answer
    x = 12,816.49

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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.