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Finding the Fourth Proportional to 14,545.96, 20,072.82 and 8,258.68

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Solution

The fourth proportional to 14,545.96, 20,072.82 and 8,258.68 is: 11,396.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,545.96 : 20,072.82 = 8,258.68 : x
  2. Step 2: Convert to fraction form
    14,545.96/20,072.82 = 8,258.68/x
  3. Step 3: Cross multiply
    14,545.96x = 20,072.82 × 8,258.68
  4. Step 4: Simplify right side
    14,545.96x = 165,774,997.08
  5. Step 5: Solve for x
    x = 165,774,997.08/14,545.96
  6. Step 6: Final answer
    x = 11,396.64

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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.