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Finding the Fourth Proportional to 12,467.27, 18,689.36 and 6,542.93

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Solution

The fourth proportional to 12,467.27, 18,689.36 and 6,542.93 is: 9,808.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,467.27 : 18,689.36 = 6,542.93 : x
  2. Step 2: Convert to fraction form
    12,467.27/18,689.36 = 6,542.93/x
  3. Step 3: Cross multiply
    12,467.27x = 18,689.36 × 6,542.93
  4. Step 4: Simplify right side
    12,467.27x = 122,283,048.06
  5. Step 5: Solve for x
    x = 122,283,048.06/12,467.27
  6. Step 6: Final answer
    x = 9,808.33

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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.