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Finding the Fourth Proportional to 13,716.10, 18,915.22 and 9,460.36

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Solution

The fourth proportional to 13,716.10, 18,915.22 and 9,460.36 is: 13,046.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,716.10 : 18,915.22 = 9,460.36 : x
  2. Step 2: Convert to fraction form
    13,716.10/18,915.22 = 9,460.36/x
  3. Step 3: Cross multiply
    13,716.10x = 18,915.22 × 9,460.36
  4. Step 4: Simplify right side
    13,716.10x = 178,944,743.38
  5. Step 5: Solve for x
    x = 178,944,743.38/13,716.10
  6. Step 6: Final answer
    x = 13,046.33

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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.