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Finding the Fourth Proportional to 14,546.45, 20,073.93 and 8,258.42

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Solution

The fourth proportional to 14,546.45, 20,073.93 and 8,258.42 is: 11,396.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,546.45 : 20,073.93 = 8,258.42 : x
  2. Step 2: Convert to fraction form
    14,546.45/20,073.93 = 8,258.42/x
  3. Step 3: Cross multiply
    14,546.45x = 20,073.93 × 8,258.42
  4. Step 4: Simplify right side
    14,546.45x = 165,778,964.21
  5. Step 5: Solve for x
    x = 165,778,964.21/14,546.45
  6. Step 6: Final answer
    x = 11,396.52

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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.