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Finding the Fourth Proportional to 12,181.84, 18,275.04 and 3,859.62

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Solution

The fourth proportional to 12,181.84, 18,275.04 and 3,859.62 is: 5,790.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,181.84 : 18,275.04 = 3,859.62 : x
  2. Step 2: Convert to fraction form
    12,181.84/18,275.04 = 3,859.62/x
  3. Step 3: Cross multiply
    12,181.84x = 18,275.04 × 3,859.62
  4. Step 4: Simplify right side
    12,181.84x = 70,534,690.59
  5. Step 5: Solve for x
    x = 70,534,690.59/12,181.84
  6. Step 6: Final answer
    x = 5,790.15

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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.