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Finding the Fourth Proportional to 20,177.50, 30,271.12 and 6,326.50

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Solution

The fourth proportional to 20,177.50, 30,271.12 and 6,326.50 is: 9,491.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,177.50 : 30,271.12 = 6,326.50 : x
  2. Step 2: Convert to fraction form
    20,177.50/30,271.12 = 6,326.50/x
  3. Step 3: Cross multiply
    20,177.50x = 30,271.12 × 6,326.50
  4. Step 4: Simplify right side
    20,177.50x = 191,510,240.68
  5. Step 5: Solve for x
    x = 191,510,240.68/20,177.50
  6. Step 6: Final answer
    x = 9,491.28

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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.