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Finding the Fourth Proportional to 18,530.72, 27,805.44 and 9,296

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Solution

The fourth proportional to 18,530.72, 27,805.44 and 9,296 is: 13,948.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,530.72 : 27,805.44 = 9,296 : x
  2. Step 2: Convert to fraction form
    18,530.72/27,805.44 = 9,296/x
  3. Step 3: Cross multiply
    18,530.72x = 27,805.44 × 9,296
  4. Step 4: Simplify right side
    18,530.72x = 258,479,370.24
  5. Step 5: Solve for x
    x = 258,479,370.24/18,530.72
  6. Step 6: Final answer
    x = 13,948.70

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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.