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Finding the Fourth Proportional to 28,824.38, 39,777.64 and 16,249.13

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Solution

The fourth proportional to 28,824.38, 39,777.64 and 16,249.13 is: 22,423.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,824.38 : 39,777.64 = 16,249.13 : x
  2. Step 2: Convert to fraction form
    28,824.38/39,777.64 = 16,249.13/x
  3. Step 3: Cross multiply
    28,824.38x = 39,777.64 × 16,249.13
  4. Step 4: Simplify right side
    28,824.38x = 646,351,803.94
  5. Step 5: Solve for x
    x = 646,351,803.94/28,824.38
  6. Step 6: Final answer
    x = 22,423.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.