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Finding the Fourth Proportional to 12,794.63, 19,189.29 and 3,432.42

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Solution

The fourth proportional to 12,794.63, 19,189.29 and 3,432.42 is: 5,147.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,794.63 : 19,189.29 = 3,432.42 : x
  2. Step 2: Convert to fraction form
    12,794.63/19,189.29 = 3,432.42/x
  3. Step 3: Cross multiply
    12,794.63x = 19,189.29 × 3,432.42
  4. Step 4: Simplify right side
    12,794.63x = 65,865,774.74
  5. Step 5: Solve for x
    x = 65,865,774.74/12,794.63
  6. Step 6: Final answer
    x = 5,147.93

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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.