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Finding the Fourth Proportional to 12,787.34, 19,181.02 and 4,023.14

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Solution

The fourth proportional to 12,787.34, 19,181.02 and 4,023.14 is: 6,034.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,787.34 : 19,181.02 = 4,023.14 : x
  2. Step 2: Convert to fraction form
    12,787.34/19,181.02 = 4,023.14/x
  3. Step 3: Cross multiply
    12,787.34x = 19,181.02 × 4,023.14
  4. Step 4: Simplify right side
    12,787.34x = 77,167,928.80
  5. Step 5: Solve for x
    x = 77,167,928.80/12,787.34
  6. Step 6: Final answer
    x = 6,034.71

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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.