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Finding the Fourth Proportional to 11,596.81, 17,373.35 and 8,986.99

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Solution

The fourth proportional to 11,596.81, 17,373.35 and 8,986.99 is: 13,463.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,596.81 : 17,373.35 = 8,986.99 : x
  2. Step 2: Convert to fraction form
    11,596.81/17,373.35 = 8,986.99/x
  3. Step 3: Cross multiply
    11,596.81x = 17,373.35 × 8,986.99
  4. Step 4: Simplify right side
    11,596.81x = 156,134,077.78
  5. Step 5: Solve for x
    x = 156,134,077.78/11,596.81
  6. Step 6: Final answer
    x = 13,463.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.