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Finding the Fourth Proportional to 13,915.97, 20,839.35 and 9,736.41

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Solution

The fourth proportional to 13,915.97, 20,839.35 and 9,736.41 is: 14,580.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,915.97 : 20,839.35 = 9,736.41 : x
  2. Step 2: Convert to fraction form
    13,915.97/20,839.35 = 9,736.41/x
  3. Step 3: Cross multiply
    13,915.97x = 20,839.35 × 9,736.41
  4. Step 4: Simplify right side
    13,915.97x = 202,900,455.73
  5. Step 5: Solve for x
    x = 202,900,455.73/13,915.97
  6. Step 6: Final answer
    x = 14,580.40

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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.