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Finding the Fourth Proportional to 13,729.50, 20,598.35 and 9,734.58

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Solution

The fourth proportional to 13,729.50, 20,598.35 and 9,734.58 is: 14,604.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,729.50 : 20,598.35 = 9,734.58 : x
  2. Step 2: Convert to fraction form
    13,729.50/20,598.35 = 9,734.58/x
  3. Step 3: Cross multiply
    13,729.50x = 20,598.35 × 9,734.58
  4. Step 4: Simplify right side
    13,729.50x = 200,516,160.03
  5. Step 5: Solve for x
    x = 200,516,160.03/13,729.50
  6. Step 6: Final answer
    x = 14,604.77

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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.