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Finding the Fourth Proportional to 13,046.20, 19,474.56 and 12,085

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Solution

The fourth proportional to 13,046.20, 19,474.56 and 12,085 is: 18,039.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,046.20 : 19,474.56 = 12,085 : x
  2. Step 2: Convert to fraction form
    13,046.20/19,474.56 = 12,085/x
  3. Step 3: Cross multiply
    13,046.20x = 19,474.56 × 12,085
  4. Step 4: Simplify right side
    13,046.20x = 235,350,057.60
  5. Step 5: Solve for x
    x = 235,350,057.60/13,046.20
  6. Step 6: Final answer
    x = 18,039.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.