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Finding the Fourth Proportional to 24,389.82, 33,657.84 and 13,211.82

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Solution

The fourth proportional to 24,389.82, 33,657.84 and 13,211.82 is: 18,232.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,389.82 : 33,657.84 = 13,211.82 : x
  2. Step 2: Convert to fraction form
    24,389.82/33,657.84 = 13,211.82/x
  3. Step 3: Cross multiply
    24,389.82x = 33,657.84 × 13,211.82
  4. Step 4: Simplify right side
    24,389.82x = 444,681,323.67
  5. Step 5: Solve for x
    x = 444,681,323.67/24,389.82
  6. Step 6: Final answer
    x = 18,232.25

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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.