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Finding the Fourth Proportional to 23,384.90, 35,077.11 and 13,517.90

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Solution

The fourth proportional to 23,384.90, 35,077.11 and 13,517.90 is: 20,276.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,384.90 : 35,077.11 = 13,517.90 : x
  2. Step 2: Convert to fraction form
    23,384.90/35,077.11 = 13,517.90/x
  3. Step 3: Cross multiply
    23,384.90x = 35,077.11 × 13,517.90
  4. Step 4: Simplify right side
    23,384.90x = 474,168,865.27
  5. Step 5: Solve for x
    x = 474,168,865.27/23,384.90
  6. Step 6: Final answer
    x = 20,276.71

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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.