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Finding the Fourth Proportional to 11,949.50, 17,926.68 and 5,024

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Solution

The fourth proportional to 11,949.50, 17,926.68 and 5,024 is: 7,537.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,949.50 : 17,926.68 = 5,024 : x
  2. Step 2: Convert to fraction form
    11,949.50/17,926.68 = 5,024/x
  3. Step 3: Cross multiply
    11,949.50x = 17,926.68 × 5,024
  4. Step 4: Simplify right side
    11,949.50x = 90,063,640.32
  5. Step 5: Solve for x
    x = 90,063,640.32/11,949.50
  6. Step 6: Final answer
    x = 7,537.02

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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.