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Finding the Fourth Proportional to 12,909.78, 19,364.26 and 3,675.78

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Solution

The fourth proportional to 12,909.78, 19,364.26 and 3,675.78 is: 5,513.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,909.78 : 19,364.26 = 3,675.78 : x
  2. Step 2: Convert to fraction form
    12,909.78/19,364.26 = 3,675.78/x
  3. Step 3: Cross multiply
    12,909.78x = 19,364.26 × 3,675.78
  4. Step 4: Simplify right side
    12,909.78x = 71,178,759.62
  5. Step 5: Solve for x
    x = 71,178,759.62/12,909.78
  6. Step 6: Final answer
    x = 5,513.55

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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.