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Finding the Fourth Proportional to 18,475, 27,706.69 and 5,992.13

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Solution

The fourth proportional to 18,475, 27,706.69 and 5,992.13 is: 8,986.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,475 : 27,706.69 = 5,992.13 : x
  2. Step 2: Convert to fraction form
    18,475/27,706.69 = 5,992.13/x
  3. Step 3: Cross multiply
    18,475x = 27,706.69 × 5,992.13
  4. Step 4: Simplify right side
    18,475x = 166,022,088.35
  5. Step 5: Solve for x
    x = 166,022,088.35/18,475
  6. Step 6: Final answer
    x = 8,986.31

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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.