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Finding the Fourth Proportional to 25,524.26, 38,230.96 and 12,349

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Solution

The fourth proportional to 25,524.26, 38,230.96 and 12,349 is: 18,496.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,524.26 : 38,230.96 = 12,349 : x
  2. Step 2: Convert to fraction form
    25,524.26/38,230.96 = 12,349/x
  3. Step 3: Cross multiply
    25,524.26x = 38,230.96 × 12,349
  4. Step 4: Simplify right side
    25,524.26x = 472,114,125.04
  5. Step 5: Solve for x
    x = 472,114,125.04/25,524.26
  6. Step 6: Final answer
    x = 18,496.68

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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.