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Finding the Fourth Proportional to 14,584.66, 20,126.66 and 8,297.02

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Solution

The fourth proportional to 14,584.66, 20,126.66 and 8,297.02 is: 11,449.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,584.66 : 20,126.66 = 8,297.02 : x
  2. Step 2: Convert to fraction form
    14,584.66/20,126.66 = 8,297.02/x
  3. Step 3: Cross multiply
    14,584.66x = 20,126.66 × 8,297.02
  4. Step 4: Simplify right side
    14,584.66x = 166,991,300.55
  5. Step 5: Solve for x
    x = 166,991,300.55/14,584.66
  6. Step 6: Final answer
    x = 11,449.79

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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.