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Finding the Fourth Proportional to 24,336, 33,588.54 and 13,725.81

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Solution

The fourth proportional to 24,336, 33,588.54 and 13,725.81 is: 18,944.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,336 : 33,588.54 = 13,725.81 : x
  2. Step 2: Convert to fraction form
    24,336/33,588.54 = 13,725.81/x
  3. Step 3: Cross multiply
    24,336x = 33,588.54 × 13,725.81
  4. Step 4: Simplify right side
    24,336x = 461,029,918.22
  5. Step 5: Solve for x
    x = 461,029,918.22/24,336
  6. Step 6: Final answer
    x = 18,944.36

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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.