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Finding the Fourth Proportional to 12,057.74, 18,084.80 and 4,661.28

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Solution

The fourth proportional to 12,057.74, 18,084.80 and 4,661.28 is: 6,991.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,057.74 : 18,084.80 = 4,661.28 : x
  2. Step 2: Convert to fraction form
    12,057.74/18,084.80 = 4,661.28/x
  3. Step 3: Cross multiply
    12,057.74x = 18,084.80 × 4,661.28
  4. Step 4: Simplify right side
    12,057.74x = 84,298,316.54
  5. Step 5: Solve for x
    x = 84,298,316.54/12,057.74
  6. Step 6: Final answer
    x = 6,991.22

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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.