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Finding the Fourth Proportional to 14,617.87, 20,172.56 and 7,903.46

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Solution

The fourth proportional to 14,617.87, 20,172.56 and 7,903.46 is: 10,906.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,617.87 : 20,172.56 = 7,903.46 : x
  2. Step 2: Convert to fraction form
    14,617.87/20,172.56 = 7,903.46/x
  3. Step 3: Cross multiply
    14,617.87x = 20,172.56 × 7,903.46
  4. Step 4: Simplify right side
    14,617.87x = 159,433,031.97
  5. Step 5: Solve for x
    x = 159,433,031.97/14,617.87
  6. Step 6: Final answer
    x = 10,906.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.