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Finding the Fourth Proportional to 13,405.38, 20,111.71 and 4,640.97

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Solution

The fourth proportional to 13,405.38, 20,111.71 and 4,640.97 is: 6,962.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,405.38 : 20,111.71 = 4,640.97 : x
  2. Step 2: Convert to fraction form
    13,405.38/20,111.71 = 4,640.97/x
  3. Step 3: Cross multiply
    13,405.38x = 20,111.71 × 4,640.97
  4. Step 4: Simplify right side
    13,405.38x = 93,337,915.28
  5. Step 5: Solve for x
    x = 93,337,915.28/13,405.38
  6. Step 6: Final answer
    x = 6,962.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.