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Finding the Fourth Proportional to 27,534.53, 41,307.09 and 11,739.28

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Solution

The fourth proportional to 27,534.53, 41,307.09 and 11,739.28 is: 17,611.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,534.53 : 41,307.09 = 11,739.28 : x
  2. Step 2: Convert to fraction form
    27,534.53/41,307.09 = 11,739.28/x
  3. Step 3: Cross multiply
    27,534.53x = 41,307.09 × 11,739.28
  4. Step 4: Simplify right side
    27,534.53x = 484,915,495.50
  5. Step 5: Solve for x
    x = 484,915,495.50/27,534.53
  6. Step 6: Final answer
    x = 17,611.18

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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.