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Finding the Fourth Proportional to 12,181.84, 18,272.77 and 9,412.54

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Solution

The fourth proportional to 12,181.84, 18,272.77 and 9,412.54 is: 14,118.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,181.84 : 18,272.77 = 9,412.54 : x
  2. Step 2: Convert to fraction form
    12,181.84/18,272.77 = 9,412.54/x
  3. Step 3: Cross multiply
    12,181.84x = 18,272.77 × 9,412.54
  4. Step 4: Simplify right side
    12,181.84x = 171,993,178.54
  5. Step 5: Solve for x
    x = 171,993,178.54/12,181.84
  6. Step 6: Final answer
    x = 14,118.82

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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.