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Finding the Fourth Proportional to 20,439.63, 30,647.97 and 7,106.49

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Solution

The fourth proportional to 20,439.63, 30,647.97 and 7,106.49 is: 10,655.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,439.63 : 30,647.97 = 7,106.49 : x
  2. Step 2: Convert to fraction form
    20,439.63/30,647.97 = 7,106.49/x
  3. Step 3: Cross multiply
    20,439.63x = 30,647.97 × 7,106.49
  4. Step 4: Simplify right side
    20,439.63x = 217,799,492.33
  5. Step 5: Solve for x
    x = 217,799,492.33/20,439.63
  6. Step 6: Final answer
    x = 10,655.75

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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.