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Finding the Fourth Proportional to 20,127.41, 30,199.05 and 7,650.74

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Solution

The fourth proportional to 20,127.41, 30,199.05 and 7,650.74 is: 11,479.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,127.41 : 30,199.05 = 7,650.74 : x
  2. Step 2: Convert to fraction form
    20,127.41/30,199.05 = 7,650.74/x
  3. Step 3: Cross multiply
    20,127.41x = 30,199.05 × 7,650.74
  4. Step 4: Simplify right side
    20,127.41x = 231,044,928.80
  5. Step 5: Solve for x
    x = 231,044,928.80/20,127.41
  6. Step 6: Final answer
    x = 11,479.12

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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.