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Finding the Fourth Proportional to 20,031.40, 30,047.10 and 9,644.20

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Solution

The fourth proportional to 20,031.40, 30,047.10 and 9,644.20 is: 14,466.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,031.40 : 30,047.10 = 9,644.20 : x
  2. Step 2: Convert to fraction form
    20,031.40/30,047.10 = 9,644.20/x
  3. Step 3: Cross multiply
    20,031.40x = 30,047.10 × 9,644.20
  4. Step 4: Simplify right side
    20,031.40x = 289,780,241.82
  5. Step 5: Solve for x
    x = 289,780,241.82/20,031.40
  6. Step 6: Final answer
    x = 14,466.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.