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Finding the Fourth Proportional to 25,452, 38,190.24 and 19,249.92

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Solution

The fourth proportional to 25,452, 38,190.24 and 19,249.92 is: 28,884.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,452 : 38,190.24 = 19,249.92 : x
  2. Step 2: Convert to fraction form
    25,452/38,190.24 = 19,249.92/x
  3. Step 3: Cross multiply
    25,452x = 38,190.24 × 19,249.92
  4. Step 4: Simplify right side
    25,452x = 735,159,064.78
  5. Step 5: Solve for x
    x = 735,159,064.78/25,452
  6. Step 6: Final answer
    x = 28,884.14

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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.