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Finding the Fourth Proportional to 12,596.54, 17,381.82 and 7,290.32

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Solution

The fourth proportional to 12,596.54, 17,381.82 and 7,290.32 is: 10,059.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,596.54 : 17,381.82 = 7,290.32 : x
  2. Step 2: Convert to fraction form
    12,596.54/17,381.82 = 7,290.32/x
  3. Step 3: Cross multiply
    12,596.54x = 17,381.82 × 7,290.32
  4. Step 4: Simplify right side
    12,596.54x = 126,719,029.98
  5. Step 5: Solve for x
    x = 126,719,029.98/12,596.54
  6. Step 6: Final answer
    x = 10,059.83

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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.