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Finding the Fourth Proportional to 11,931.84, 17,893.26 and 9,586.08

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Solution

The fourth proportional to 11,931.84, 17,893.26 and 9,586.08 is: 14,375.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,931.84 : 17,893.26 = 9,586.08 : x
  2. Step 2: Convert to fraction form
    11,931.84/17,893.26 = 9,586.08/x
  3. Step 3: Cross multiply
    11,931.84x = 17,893.26 × 9,586.08
  4. Step 4: Simplify right side
    11,931.84x = 171,526,324.87
  5. Step 5: Solve for x
    x = 171,526,324.87/11,931.84
  6. Step 6: Final answer
    x = 14,375.51

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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.