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Finding the Fourth Proportional to 14,545.20, 20,072.96 and 8,258.16

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Solution

The fourth proportional to 14,545.20, 20,072.96 and 8,258.16 is: 11,396.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,545.20 : 20,072.96 = 8,258.16 : x
  2. Step 2: Convert to fraction form
    14,545.20/20,072.96 = 8,258.16/x
  3. Step 3: Cross multiply
    14,545.20x = 20,072.96 × 8,258.16
  4. Step 4: Simplify right side
    14,545.20x = 165,765,715.35
  5. Step 5: Solve for x
    x = 165,765,715.35/14,545.20
  6. Step 6: Final answer
    x = 11,396.59

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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.