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Finding the Fourth Proportional to 20,172.36, 30,261.78 and 8,488.92

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Solution

The fourth proportional to 20,172.36, 30,261.78 and 8,488.92 is: 12,734.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,172.36 : 30,261.78 = 8,488.92 : x
  2. Step 2: Convert to fraction form
    20,172.36/30,261.78 = 8,488.92/x
  3. Step 3: Cross multiply
    20,172.36x = 30,261.78 × 8,488.92
  4. Step 4: Simplify right side
    20,172.36x = 256,889,829.48
  5. Step 5: Solve for x
    x = 256,889,829.48/20,172.36
  6. Step 6: Final answer
    x = 12,734.74

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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.