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Finding the Fourth Proportional to 12,675.35, 19,013.94 and 3,909.13

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Solution

The fourth proportional to 12,675.35, 19,013.94 and 3,909.13 is: 5,863.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,675.35 : 19,013.94 = 3,909.13 : x
  2. Step 2: Convert to fraction form
    12,675.35/19,013.94 = 3,909.13/x
  3. Step 3: Cross multiply
    12,675.35x = 19,013.94 × 3,909.13
  4. Step 4: Simplify right side
    12,675.35x = 74,327,915.74
  5. Step 5: Solve for x
    x = 74,327,915.74/12,675.35
  6. Step 6: Final answer
    x = 5,863.97

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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.