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Finding the Fourth Proportional to 14,900.56, 20,563.13 and 8,186.63

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Solution

The fourth proportional to 14,900.56, 20,563.13 and 8,186.63 is: 11,297.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,900.56 : 20,563.13 = 8,186.63 : x
  2. Step 2: Convert to fraction form
    14,900.56/20,563.13 = 8,186.63/x
  3. Step 3: Cross multiply
    14,900.56x = 20,563.13 × 8,186.63
  4. Step 4: Simplify right side
    14,900.56x = 168,342,654.60
  5. Step 5: Solve for x
    x = 168,342,654.60/14,900.56
  6. Step 6: Final answer
    x = 11,297.74

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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.