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Finding the Fourth Proportional to 16,876.52, 23,267.76 and 11,561.84

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Solution

The fourth proportional to 16,876.52, 23,267.76 and 11,561.84 is: 15,940.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,876.52 : 23,267.76 = 11,561.84 : x
  2. Step 2: Convert to fraction form
    16,876.52/23,267.76 = 11,561.84/x
  3. Step 3: Cross multiply
    16,876.52x = 23,267.76 × 11,561.84
  4. Step 4: Simplify right side
    16,876.52x = 269,018,118.28
  5. Step 5: Solve for x
    x = 269,018,118.28/16,876.52
  6. Step 6: Final answer
    x = 15,940.38

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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.