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Finding the Fourth Proportional to 20,031.72, 30,047.48 and 8,182.97

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Solution

The fourth proportional to 20,031.72, 30,047.48 and 8,182.97 is: 12,274.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,031.72 : 30,047.48 = 8,182.97 : x
  2. Step 2: Convert to fraction form
    20,031.72/30,047.48 = 8,182.97/x
  3. Step 3: Cross multiply
    20,031.72x = 30,047.48 × 8,182.97
  4. Step 4: Simplify right side
    20,031.72x = 245,877,436.26
  5. Step 5: Solve for x
    x = 245,877,436.26/20,031.72
  6. Step 6: Final answer
    x = 12,274.40

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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.