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Finding the Fourth Proportional to 16,887, 25,333.74 and 7,653

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Solution

The fourth proportional to 16,887, 25,333.74 and 7,653 is: 11,480.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,887 : 25,333.74 = 7,653 : x
  2. Step 2: Convert to fraction form
    16,887/25,333.74 = 7,653/x
  3. Step 3: Cross multiply
    16,887x = 25,333.74 × 7,653
  4. Step 4: Simplify right side
    16,887x = 193,879,112.22
  5. Step 5: Solve for x
    x = 193,879,112.22/16,887
  6. Step 6: Final answer
    x = 11,480.97

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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.