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Finding the Fourth Proportional to 12,596.40, 18,857.34 and 7,651.08

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Solution

The fourth proportional to 12,596.40, 18,857.34 and 7,651.08 is: 11,453.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,596.40 : 18,857.34 = 7,651.08 : x
  2. Step 2: Convert to fraction form
    12,596.40/18,857.34 = 7,651.08/x
  3. Step 3: Cross multiply
    12,596.40x = 18,857.34 × 7,651.08
  4. Step 4: Simplify right side
    12,596.40x = 144,279,016.93
  5. Step 5: Solve for x
    x = 144,279,016.93/12,596.40
  6. Step 6: Final answer
    x = 11,453.99

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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.