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Finding the Fourth Proportional to 12,597.96, 17,382.04 and 8,116.32

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Solution

The fourth proportional to 12,597.96, 17,382.04 and 8,116.32 is: 11,198.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,597.96 : 17,382.04 = 8,116.32 : x
  2. Step 2: Convert to fraction form
    12,597.96/17,382.04 = 8,116.32/x
  3. Step 3: Cross multiply
    12,597.96x = 17,382.04 × 8,116.32
  4. Step 4: Simplify right side
    12,597.96x = 141,078,198.89
  5. Step 5: Solve for x
    x = 141,078,198.89/12,597.96
  6. Step 6: Final answer
    x = 11,198.50

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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.