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Finding the Fourth Proportional to 14,657.18, 20,226.98 and 7,942.81

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Solution

The fourth proportional to 14,657.18, 20,226.98 and 7,942.81 is: 10,961.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,657.18 : 20,226.98 = 7,942.81 : x
  2. Step 2: Convert to fraction form
    14,657.18/20,226.98 = 7,942.81/x
  3. Step 3: Cross multiply
    14,657.18x = 20,226.98 × 7,942.81
  4. Step 4: Simplify right side
    14,657.18x = 160,659,028.30
  5. Step 5: Solve for x
    x = 160,659,028.30/14,657.18
  6. Step 6: Final answer
    x = 10,961.12

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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.