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Finding the Fourth Proportional to 13,578.66, 18,710.46 and 10,915.38

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Solution

The fourth proportional to 13,578.66, 18,710.46 and 10,915.38 is: 15,040.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,578.66 : 18,710.46 = 10,915.38 : x
  2. Step 2: Convert to fraction form
    13,578.66/18,710.46 = 10,915.38/x
  3. Step 3: Cross multiply
    13,578.66x = 18,710.46 × 10,915.38
  4. Step 4: Simplify right side
    13,578.66x = 204,231,780.87
  5. Step 5: Solve for x
    x = 204,231,780.87/13,578.66
  6. Step 6: Final answer
    x = 15,040.64

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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.