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Finding the Fourth Proportional to 25,827.68, 38,725.92 and 11,593.56

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Solution

The fourth proportional to 25,827.68, 38,725.92 and 11,593.56 is: 17,383.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,827.68 : 38,725.92 = 11,593.56 : x
  2. Step 2: Convert to fraction form
    25,827.68/38,725.92 = 11,593.56/x
  3. Step 3: Cross multiply
    25,827.68x = 38,725.92 × 11,593.56
  4. Step 4: Simplify right side
    25,827.68x = 448,971,277.08
  5. Step 5: Solve for x
    x = 448,971,277.08/25,827.68
  6. Step 6: Final answer
    x = 17,383.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.