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Finding the Fourth Proportional to 18,277, 27,459.24 and 11,716

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Solution

The fourth proportional to 18,277, 27,459.24 and 11,716 is: 17,602.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,277 : 27,459.24 = 11,716 : x
  2. Step 2: Convert to fraction form
    18,277/27,459.24 = 11,716/x
  3. Step 3: Cross multiply
    18,277x = 27,459.24 × 11,716
  4. Step 4: Simplify right side
    18,277x = 321,712,455.84
  5. Step 5: Solve for x
    x = 321,712,455.84/18,277
  6. Step 6: Final answer
    x = 17,602.04

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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.