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Finding the Fourth Proportional to 14,546.24, 20,074.24 and 8,258.88

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Solution

The fourth proportional to 14,546.24, 20,074.24 and 8,258.88 is: 11,397.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,546.24 : 20,074.24 = 8,258.88 : x
  2. Step 2: Convert to fraction form
    14,546.24/20,074.24 = 8,258.88/x
  3. Step 3: Cross multiply
    14,546.24x = 20,074.24 × 8,258.88
  4. Step 4: Simplify right side
    14,546.24x = 165,790,739.25
  5. Step 5: Solve for x
    x = 165,790,739.25/14,546.24
  6. Step 6: Final answer
    x = 11,397.50

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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.