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Finding the Fourth Proportional to 12,536.40, 18,805.54 and 4,216.44

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Solution

The fourth proportional to 12,536.40, 18,805.54 and 4,216.44 is: 6,324.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,536.40 : 18,805.54 = 4,216.44 : x
  2. Step 2: Convert to fraction form
    12,536.40/18,805.54 = 4,216.44/x
  3. Step 3: Cross multiply
    12,536.40x = 18,805.54 × 4,216.44
  4. Step 4: Simplify right side
    12,536.40x = 79,292,431.08
  5. Step 5: Solve for x
    x = 79,292,431.08/12,536.40
  6. Step 6: Final answer
    x = 6,324.98

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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.