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Finding the Fourth Proportional to 14,973.26, 20,662.74 and 8,258.69

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Solution

The fourth proportional to 14,973.26, 20,662.74 and 8,258.69 is: 11,396.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,973.26 : 20,662.74 = 8,258.69 : x
  2. Step 2: Convert to fraction form
    14,973.26/20,662.74 = 8,258.69/x
  3. Step 3: Cross multiply
    14,973.26x = 20,662.74 × 8,258.69
  4. Step 4: Simplify right side
    14,973.26x = 170,647,060.90
  5. Step 5: Solve for x
    x = 170,647,060.90/14,973.26
  6. Step 6: Final answer
    x = 11,396.79

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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.