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Finding the Fourth Proportional to 12,784.29, 19,179.33 and 3,900.42

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Solution

The fourth proportional to 12,784.29, 19,179.33 and 3,900.42 is: 5,851.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,784.29 : 19,179.33 = 3,900.42 : x
  2. Step 2: Convert to fraction form
    12,784.29/19,179.33 = 3,900.42/x
  3. Step 3: Cross multiply
    12,784.29x = 19,179.33 × 3,900.42
  4. Step 4: Simplify right side
    12,784.29x = 74,807,442.32
  5. Step 5: Solve for x
    x = 74,807,442.32/12,784.29
  6. Step 6: Final answer
    x = 5,851.51

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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.