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Finding the Fourth Proportional to 12,584.50, 17,367.05 and 6,919.77

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Solution

The fourth proportional to 12,584.50, 17,367.05 and 6,919.77 is: 9,549.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,584.50 : 17,367.05 = 6,919.77 : x
  2. Step 2: Convert to fraction form
    12,584.50/17,367.05 = 6,919.77/x
  3. Step 3: Cross multiply
    12,584.50x = 17,367.05 × 6,919.77
  4. Step 4: Simplify right side
    12,584.50x = 120,175,991.58
  5. Step 5: Solve for x
    x = 120,175,991.58/12,584.50
  6. Step 6: Final answer
    x = 9,549.52

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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.