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Finding the Fourth Proportional to 14,257.50, 19,675.77 and 7,969.89

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Solution

The fourth proportional to 14,257.50, 19,675.77 and 7,969.89 is: 10,998.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,257.50 : 19,675.77 = 7,969.89 : x
  2. Step 2: Convert to fraction form
    14,257.50/19,675.77 = 7,969.89/x
  3. Step 3: Cross multiply
    14,257.50x = 19,675.77 × 7,969.89
  4. Step 4: Simplify right side
    14,257.50x = 156,813,722.57
  5. Step 5: Solve for x
    x = 156,813,722.57/14,257.50
  6. Step 6: Final answer
    x = 10,998.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.