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Finding the Fourth Proportional to 25,391.68, 38,091.94 and 10,611

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Solution

The fourth proportional to 25,391.68, 38,091.94 and 10,611 is: 15,918.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,391.68 : 38,091.94 = 10,611 : x
  2. Step 2: Convert to fraction form
    25,391.68/38,091.94 = 10,611/x
  3. Step 3: Cross multiply
    25,391.68x = 38,091.94 × 10,611
  4. Step 4: Simplify right side
    25,391.68x = 404,193,548.81
  5. Step 5: Solve for x
    x = 404,193,548.81/25,391.68
  6. Step 6: Final answer
    x = 15,918.35

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Why These Related Problems?

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