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Finding the Fourth Proportional to 24,115.32, 33,256.89 and 16,548.30

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Solution

The fourth proportional to 24,115.32, 33,256.89 and 16,548.30 is: 22,821.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,115.32 : 33,256.89 = 16,548.30 : x
  2. Step 2: Convert to fraction form
    24,115.32/33,256.89 = 16,548.30/x
  3. Step 3: Cross multiply
    24,115.32x = 33,256.89 × 16,548.30
  4. Step 4: Simplify right side
    24,115.32x = 550,344,992.79
  5. Step 5: Solve for x
    x = 550,344,992.79/24,115.32
  6. Step 6: Final answer
    x = 22,821.38

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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.