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Finding the Fourth Proportional to 16,854.67, 23,241.49 and 11,541.07

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Solution

The fourth proportional to 16,854.67, 23,241.49 and 11,541.07 is: 15,914.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,854.67 : 23,241.49 = 11,541.07 : x
  2. Step 2: Convert to fraction form
    16,854.67/23,241.49 = 11,541.07/x
  3. Step 3: Cross multiply
    16,854.67x = 23,241.49 × 11,541.07
  4. Step 4: Simplify right side
    16,854.67x = 268,231,662.99
  5. Step 5: Solve for x
    x = 268,231,662.99/16,854.67
  6. Step 6: Final answer
    x = 15,914.38

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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.