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Finding the Fourth Proportional to 12,057.81, 18,089.16 and 4,272.09

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Solution

The fourth proportional to 12,057.81, 18,089.16 and 4,272.09 is: 6,409.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,057.81 : 18,089.16 = 4,272.09 : x
  2. Step 2: Convert to fraction form
    12,057.81/18,089.16 = 4,272.09/x
  3. Step 3: Cross multiply
    12,057.81x = 18,089.16 × 4,272.09
  4. Step 4: Simplify right side
    12,057.81x = 77,278,519.54
  5. Step 5: Solve for x
    x = 77,278,519.54/12,057.81
  6. Step 6: Final answer
    x = 6,409.00

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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.