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Finding the Fourth Proportional to 12,965.49, 17,891.91 and 7,589.07

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Solution

The fourth proportional to 12,965.49, 17,891.91 and 7,589.07 is: 10,472.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,965.49 : 17,891.91 = 7,589.07 : x
  2. Step 2: Convert to fraction form
    12,965.49/17,891.91 = 7,589.07/x
  3. Step 3: Cross multiply
    12,965.49x = 17,891.91 × 7,589.07
  4. Step 4: Simplify right side
    12,965.49x = 135,782,957.42
  5. Step 5: Solve for x
    x = 135,782,957.42/12,965.49
  6. Step 6: Final answer
    x = 10,472.64

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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.