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Finding the Fourth Proportional to 17,296.80, 23,871.38 and 10,586.89

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Solution

The fourth proportional to 17,296.80, 23,871.38 and 10,586.89 is: 14,611.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,296.80 : 23,871.38 = 10,586.89 : x
  2. Step 2: Convert to fraction form
    17,296.80/23,871.38 = 10,586.89/x
  3. Step 3: Cross multiply
    17,296.80x = 23,871.38 × 10,586.89
  4. Step 4: Simplify right side
    17,296.80x = 252,723,674.21
  5. Step 5: Solve for x
    x = 252,723,674.21/17,296.80
  6. Step 6: Final answer
    x = 14,611.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.