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Finding the Fourth Proportional to 12,881.52, 19,321.07 and 4,114.89

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Solution

The fourth proportional to 12,881.52, 19,321.07 and 4,114.89 is: 6,171.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,881.52 : 19,321.07 = 4,114.89 : x
  2. Step 2: Convert to fraction form
    12,881.52/19,321.07 = 4,114.89/x
  3. Step 3: Cross multiply
    12,881.52x = 19,321.07 × 4,114.89
  4. Step 4: Simplify right side
    12,881.52x = 79,504,057.16
  5. Step 5: Solve for x
    x = 79,504,057.16/12,881.52
  6. Step 6: Final answer
    x = 6,171.95

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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.