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Finding the Fourth Proportional to 12,965.67, 17,876.25 and 8,482.32

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Solution

The fourth proportional to 12,965.67, 17,876.25 and 8,482.32 is: 11,694.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,965.67 : 17,876.25 = 8,482.32 : x
  2. Step 2: Convert to fraction form
    12,965.67/17,876.25 = 8,482.32/x
  3. Step 3: Cross multiply
    12,965.67x = 17,876.25 × 8,482.32
  4. Step 4: Simplify right side
    12,965.67x = 151,632,072.90
  5. Step 5: Solve for x
    x = 151,632,072.90/12,965.67
  6. Step 6: Final answer
    x = 11,694.89

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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.