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Finding the Fourth Proportional to 13,729.50, 20,595.06 and 4,495.50

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Solution

The fourth proportional to 13,729.50, 20,595.06 and 4,495.50 is: 6,743.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,729.50 : 20,595.06 = 4,495.50 : x
  2. Step 2: Convert to fraction form
    13,729.50/20,595.06 = 4,495.50/x
  3. Step 3: Cross multiply
    13,729.50x = 20,595.06 × 4,495.50
  4. Step 4: Simplify right side
    13,729.50x = 92,585,092.23
  5. Step 5: Solve for x
    x = 92,585,092.23/13,729.50
  6. Step 6: Final answer
    x = 6,743.52

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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.