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Finding the Fourth Proportional to 12,827.54, 19,241.32 and 8,020.46

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Solution

The fourth proportional to 12,827.54, 19,241.32 and 8,020.46 is: 12,030.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,827.54 : 19,241.32 = 8,020.46 : x
  2. Step 2: Convert to fraction form
    12,827.54/19,241.32 = 8,020.46/x
  3. Step 3: Cross multiply
    12,827.54x = 19,241.32 × 8,020.46
  4. Step 4: Simplify right side
    12,827.54x = 154,324,237.41
  5. Step 5: Solve for x
    x = 154,324,237.41/12,827.54
  6. Step 6: Final answer
    x = 12,030.70

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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.