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Finding the Fourth Proportional to 16,159, 24,236.88 and 11,785

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Solution

The fourth proportional to 16,159, 24,236.88 and 11,785 is: 17,676.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,159 : 24,236.88 = 11,785 : x
  2. Step 2: Convert to fraction form
    16,159/24,236.88 = 11,785/x
  3. Step 3: Cross multiply
    16,159x = 24,236.88 × 11,785
  4. Step 4: Simplify right side
    16,159x = 285,631,630.80
  5. Step 5: Solve for x
    x = 285,631,630.80/16,159
  6. Step 6: Final answer
    x = 17,676.32

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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.