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Finding the Fourth Proportional to 13,630.90, 20,443.76 and 4,269.50

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Solution

The fourth proportional to 13,630.90, 20,443.76 and 4,269.50 is: 6,403.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,630.90 : 20,443.76 = 4,269.50 : x
  2. Step 2: Convert to fraction form
    13,630.90/20,443.76 = 4,269.50/x
  3. Step 3: Cross multiply
    13,630.90x = 20,443.76 × 4,269.50
  4. Step 4: Simplify right side
    13,630.90x = 87,284,633.32
  5. Step 5: Solve for x
    x = 87,284,633.32/13,630.90
  6. Step 6: Final answer
    x = 6,403.44

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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.