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Finding the Fourth Proportional to 20,915.90, 28,864 and 11,485.08

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Solution

The fourth proportional to 20,915.90, 28,864 and 11,485.08 is: 15,849.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,915.90 : 28,864 = 11,485.08 : x
  2. Step 2: Convert to fraction form
    20,915.90/28,864 = 11,485.08/x
  3. Step 3: Cross multiply
    20,915.90x = 28,864 × 11,485.08
  4. Step 4: Simplify right side
    20,915.90x = 331,505,349.12
  5. Step 5: Solve for x
    x = 331,505,349.12/20,915.90
  6. Step 6: Final answer
    x = 15,849.44

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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.