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Finding the Fourth Proportional to 14,518.71, 20,035.80 and 8,231.09

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Solution

The fourth proportional to 14,518.71, 20,035.80 and 8,231.09 is: 11,358.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,518.71 : 20,035.80 = 8,231.09 : x
  2. Step 2: Convert to fraction form
    14,518.71/20,035.80 = 8,231.09/x
  3. Step 3: Cross multiply
    14,518.71x = 20,035.80 × 8,231.09
  4. Step 4: Simplify right side
    14,518.71x = 164,916,372.84
  5. Step 5: Solve for x
    x = 164,916,372.84/14,518.71
  6. Step 6: Final answer
    x = 11,358.89

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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.