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Finding the Fourth Proportional to 25,509.66, 38,249.49 and 13,021.50

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Solution

The fourth proportional to 25,509.66, 38,249.49 and 13,021.50 is: 19,524.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,509.66 : 38,249.49 = 13,021.50 : x
  2. Step 2: Convert to fraction form
    25,509.66/38,249.49 = 13,021.50/x
  3. Step 3: Cross multiply
    25,509.66x = 38,249.49 × 13,021.50
  4. Step 4: Simplify right side
    25,509.66x = 498,065,734.04
  5. Step 5: Solve for x
    x = 498,065,734.04/25,509.66
  6. Step 6: Final answer
    x = 19,524.59

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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.