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Finding the Fourth Proportional to 12,383.25, 18,577.76 and 4,175.25

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Solution

The fourth proportional to 12,383.25, 18,577.76 and 4,175.25 is: 6,263.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,383.25 : 18,577.76 = 4,175.25 : x
  2. Step 2: Convert to fraction form
    12,383.25/18,577.76 = 4,175.25/x
  3. Step 3: Cross multiply
    12,383.25x = 18,577.76 × 4,175.25
  4. Step 4: Simplify right side
    12,383.25x = 77,566,771.56
  5. Step 5: Solve for x
    x = 77,566,771.56/12,383.25
  6. Step 6: Final answer
    x = 6,263.85

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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.