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Finding the Fourth Proportional to 25,625.70, 38,442.51 and 10,834.68

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Solution

The fourth proportional to 25,625.70, 38,442.51 and 10,834.68 is: 16,253.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,625.70 : 38,442.51 = 10,834.68 : x
  2. Step 2: Convert to fraction form
    25,625.70/38,442.51 = 10,834.68/x
  3. Step 3: Cross multiply
    25,625.70x = 38,442.51 × 10,834.68
  4. Step 4: Simplify right side
    25,625.70x = 416,512,294.25
  5. Step 5: Solve for x
    x = 416,512,294.25/25,625.70
  6. Step 6: Final answer
    x = 16,253.69

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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.