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Finding the Fourth Proportional to 24,651, 36,976.14 and 11,496

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Solution

The fourth proportional to 24,651, 36,976.14 and 11,496 is: 17,243.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,651 : 36,976.14 = 11,496 : x
  2. Step 2: Convert to fraction form
    24,651/36,976.14 = 11,496/x
  3. Step 3: Cross multiply
    24,651x = 36,976.14 × 11,496
  4. Step 4: Simplify right side
    24,651x = 425,077,705.44
  5. Step 5: Solve for x
    x = 425,077,705.44/24,651
  6. Step 6: Final answer
    x = 17,243.83

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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.