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Finding the Fourth Proportional to 12,596.12, 17,380.74 and 7,559.24

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Solution

The fourth proportional to 12,596.12, 17,380.74 and 7,559.24 is: 10,430.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,596.12 : 17,380.74 = 7,559.24 : x
  2. Step 2: Convert to fraction form
    12,596.12/17,380.74 = 7,559.24/x
  3. Step 3: Cross multiply
    12,596.12x = 17,380.74 × 7,559.24
  4. Step 4: Simplify right side
    12,596.12x = 131,385,185.04
  5. Step 5: Solve for x
    x = 131,385,185.04/12,596.12
  6. Step 6: Final answer
    x = 10,430.61

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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.