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Finding the Fourth Proportional to 12,016.36, 16,575.68 and 7,233

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Solution

The fourth proportional to 12,016.36, 16,575.68 and 7,233 is: 9,977.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,016.36 : 16,575.68 = 7,233 : x
  2. Step 2: Convert to fraction form
    12,016.36/16,575.68 = 7,233/x
  3. Step 3: Cross multiply
    12,016.36x = 16,575.68 × 7,233
  4. Step 4: Simplify right side
    12,016.36x = 119,891,893.44
  5. Step 5: Solve for x
    x = 119,891,893.44/12,016.36
  6. Step 6: Final answer
    x = 9,977.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.