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Finding the Fourth Proportional to 14,546.51, 20,074.21 and 8,258.89

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Solution

The fourth proportional to 14,546.51, 20,074.21 and 8,258.89 is: 11,397.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,546.51 : 20,074.21 = 8,258.89 : x
  2. Step 2: Convert to fraction form
    14,546.51/20,074.21 = 8,258.89/x
  3. Step 3: Cross multiply
    14,546.51x = 20,074.21 × 8,258.89
  4. Step 4: Simplify right side
    14,546.51x = 165,790,692.23
  5. Step 5: Solve for x
    x = 165,790,692.23/14,546.51
  6. Step 6: Final answer
    x = 11,397.28

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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.