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Finding the Fourth Proportional to 12,884.90, 19,330.38 and 3,999.78

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Solution

The fourth proportional to 12,884.90, 19,330.38 and 3,999.78 is: 6,000.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,884.90 : 19,330.38 = 3,999.78 : x
  2. Step 2: Convert to fraction form
    12,884.90/19,330.38 = 3,999.78/x
  3. Step 3: Cross multiply
    12,884.90x = 19,330.38 × 3,999.78
  4. Step 4: Simplify right side
    12,884.90x = 77,317,168.72
  5. Step 5: Solve for x
    x = 77,317,168.72/12,884.90
  6. Step 6: Final answer
    x = 6,000.60

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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.