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Finding the Fourth Proportional to 25,364.43, 38,045.52 and 7,834.14

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Solution

The fourth proportional to 25,364.43, 38,045.52 and 7,834.14 is: 11,750.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,364.43 : 38,045.52 = 7,834.14 : x
  2. Step 2: Convert to fraction form
    25,364.43/38,045.52 = 7,834.14/x
  3. Step 3: Cross multiply
    25,364.43x = 38,045.52 × 7,834.14
  4. Step 4: Simplify right side
    25,364.43x = 298,053,930.05
  5. Step 5: Solve for x
    x = 298,053,930.05/25,364.43
  6. Step 6: Final answer
    x = 11,750.86

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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.