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Finding the Fourth Proportional to 18,652.93, 27,986.68 and 6,967.06

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Solution

The fourth proportional to 18,652.93, 27,986.68 and 6,967.06 is: 10,453.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,652.93 : 27,986.68 = 6,967.06 : x
  2. Step 2: Convert to fraction form
    18,652.93/27,986.68 = 6,967.06/x
  3. Step 3: Cross multiply
    18,652.93x = 27,986.68 × 6,967.06
  4. Step 4: Simplify right side
    18,652.93x = 194,984,778.31
  5. Step 5: Solve for x
    x = 194,984,778.31/18,652.93
  6. Step 6: Final answer
    x = 10,453.31

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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.