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Finding the Fourth Proportional to 12,537.66, 18,806.87 and 5,514.03

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Solution

The fourth proportional to 12,537.66, 18,806.87 and 5,514.03 is: 8,271.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,537.66 : 18,806.87 = 5,514.03 : x
  2. Step 2: Convert to fraction form
    12,537.66/18,806.87 = 5,514.03/x
  3. Step 3: Cross multiply
    12,537.66x = 18,806.87 × 5,514.03
  4. Step 4: Simplify right side
    12,537.66x = 103,701,664.83
  5. Step 5: Solve for x
    x = 103,701,664.83/12,537.66
  6. Step 6: Final answer
    x = 8,271.21

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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.