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Finding the Fourth Proportional to 12,584.35, 18,880.17 and 4,791.34

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Solution

The fourth proportional to 12,584.35, 18,880.17 and 4,791.34 is: 7,188.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,584.35 : 18,880.17 = 4,791.34 : x
  2. Step 2: Convert to fraction form
    12,584.35/18,880.17 = 4,791.34/x
  3. Step 3: Cross multiply
    12,584.35x = 18,880.17 × 4,791.34
  4. Step 4: Simplify right side
    12,584.35x = 90,461,313.73
  5. Step 5: Solve for x
    x = 90,461,313.73/12,584.35
  6. Step 6: Final answer
    x = 7,188.40

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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.