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Finding the Fourth Proportional to 12,577.50, 17,368.83 and 8,109.27

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Solution

The fourth proportional to 12,577.50, 17,368.83 and 8,109.27 is: 11,198.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,577.50 : 17,368.83 = 8,109.27 : x
  2. Step 2: Convert to fraction form
    12,577.50/17,368.83 = 8,109.27/x
  3. Step 3: Cross multiply
    12,577.50x = 17,368.83 × 8,109.27
  4. Step 4: Simplify right side
    12,577.50x = 140,848,532.05
  5. Step 5: Solve for x
    x = 140,848,532.05/12,577.50
  6. Step 6: Final answer
    x = 11,198.45

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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.