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Finding the Fourth Proportional to 24,305.92, 33,543.36 and 13,696

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Solution

The fourth proportional to 24,305.92, 33,543.36 and 13,696 is: 18,901.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,305.92 : 33,543.36 = 13,696 : x
  2. Step 2: Convert to fraction form
    24,305.92/33,543.36 = 13,696/x
  3. Step 3: Cross multiply
    24,305.92x = 33,543.36 × 13,696
  4. Step 4: Simplify right side
    24,305.92x = 459,409,858.56
  5. Step 5: Solve for x
    x = 459,409,858.56/24,305.92
  6. Step 6: Final answer
    x = 18,901.15

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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.