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Finding the Fourth Proportional to 20,701.40, 31,052.10 and 9,604.40

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Solution

The fourth proportional to 20,701.40, 31,052.10 and 9,604.40 is: 14,406.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,701.40 : 31,052.10 = 9,604.40 : x
  2. Step 2: Convert to fraction form
    20,701.40/31,052.10 = 9,604.40/x
  3. Step 3: Cross multiply
    20,701.40x = 31,052.10 × 9,604.40
  4. Step 4: Simplify right side
    20,701.40x = 298,236,789.24
  5. Step 5: Solve for x
    x = 298,236,789.24/20,701.40
  6. Step 6: Final answer
    x = 14,406.60

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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.