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Finding the Fourth Proportional to 12,233, 16,884.68 and 7,456.18

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Solution

The fourth proportional to 12,233, 16,884.68 and 7,456.18 is: 10,291.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,233 : 16,884.68 = 7,456.18 : x
  2. Step 2: Convert to fraction form
    12,233/16,884.68 = 7,456.18/x
  3. Step 3: Cross multiply
    12,233x = 16,884.68 × 7,456.18
  4. Step 4: Simplify right side
    12,233x = 125,895,213.32
  5. Step 5: Solve for x
    x = 125,895,213.32/12,233
  6. Step 6: Final answer
    x = 10,291.44

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