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Finding the Fourth Proportional to 24,257.29, 33,474.93 and 13,647

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Solution

The fourth proportional to 24,257.29, 33,474.93 and 13,647 is: 18,832.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,257.29 : 33,474.93 = 13,647 : x
  2. Step 2: Convert to fraction form
    24,257.29/33,474.93 = 13,647/x
  3. Step 3: Cross multiply
    24,257.29x = 33,474.93 × 13,647
  4. Step 4: Simplify right side
    24,257.29x = 456,832,369.71
  5. Step 5: Solve for x
    x = 456,832,369.71/24,257.29
  6. Step 6: Final answer
    x = 18,832.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.