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Finding the Fourth Proportional to 14,900.70, 20,563.29 and 8,186.46

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Solution

The fourth proportional to 14,900.70, 20,563.29 and 8,186.46 is: 11,297.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,900.70 : 20,563.29 = 8,186.46 : x
  2. Step 2: Convert to fraction form
    14,900.70/20,563.29 = 8,186.46/x
  3. Step 3: Cross multiply
    14,900.70x = 20,563.29 × 8,186.46
  4. Step 4: Simplify right side
    14,900.70x = 168,340,551.05
  5. Step 5: Solve for x
    x = 168,340,551.05/14,900.70
  6. Step 6: Final answer
    x = 11,297.49

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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.