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Finding the Fourth Proportional to 14,915.90, 20,584.08 and 8,201.57

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Solution

The fourth proportional to 14,915.90, 20,584.08 and 8,201.57 is: 11,318.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,915.90 : 20,584.08 = 8,201.57 : x
  2. Step 2: Convert to fraction form
    14,915.90/20,584.08 = 8,201.57/x
  3. Step 3: Cross multiply
    14,915.90x = 20,584.08 × 8,201.57
  4. Step 4: Simplify right side
    14,915.90x = 168,821,629.08
  5. Step 5: Solve for x
    x = 168,821,629.08/14,915.90
  6. Step 6: Final answer
    x = 11,318.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.