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Finding the Fourth Proportional to 25,685.78, 38,528.12 and 11,834.78

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Solution

The fourth proportional to 25,685.78, 38,528.12 and 11,834.78 is: 17,751.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,685.78 : 38,528.12 = 11,834.78 : x
  2. Step 2: Convert to fraction form
    25,685.78/38,528.12 = 11,834.78/x
  3. Step 3: Cross multiply
    25,685.78x = 38,528.12 × 11,834.78
  4. Step 4: Simplify right side
    25,685.78x = 455,971,660.96
  5. Step 5: Solve for x
    x = 455,971,660.96/25,685.78
  6. Step 6: Final answer
    x = 17,751.91

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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.