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Finding the Fourth Proportional to 14,900.75, 20,563.40 and 8,186.32

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Solution

The fourth proportional to 14,900.75, 20,563.40 and 8,186.32 is: 11,297.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,900.75 : 20,563.40 = 8,186.32 : x
  2. Step 2: Convert to fraction form
    14,900.75/20,563.40 = 8,186.32/x
  3. Step 3: Cross multiply
    14,900.75x = 20,563.40 × 8,186.32
  4. Step 4: Simplify right side
    14,900.75x = 168,338,480.35
  5. Step 5: Solve for x
    x = 168,338,480.35/14,900.75
  6. Step 6: Final answer
    x = 11,297.31

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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.