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Finding the Fourth Proportional to 14,900.54, 20,563.14 and 8,186.70

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Solution

The fourth proportional to 14,900.54, 20,563.14 and 8,186.70 is: 11,297.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,900.54 : 20,563.14 = 8,186.70 : x
  2. Step 2: Convert to fraction form
    14,900.54/20,563.14 = 8,186.70/x
  3. Step 3: Cross multiply
    14,900.54x = 20,563.14 × 8,186.70
  4. Step 4: Simplify right side
    14,900.54x = 168,344,258.24
  5. Step 5: Solve for x
    x = 168,344,258.24/14,900.54
  6. Step 6: Final answer
    x = 11,297.86

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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.