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Finding the Fourth Proportional to 14,771.33, 20,384.50 and 8,057.10

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Solution

The fourth proportional to 14,771.33, 20,384.50 and 8,057.10 is: 11,118.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,771.33 : 20,384.50 = 8,057.10 : x
  2. Step 2: Convert to fraction form
    14,771.33/20,384.50 = 8,057.10/x
  3. Step 3: Cross multiply
    14,771.33x = 20,384.50 × 8,057.10
  4. Step 4: Simplify right side
    14,771.33x = 164,239,934.81
  5. Step 5: Solve for x
    x = 164,239,934.81/14,771.33
  6. Step 6: Final answer
    x = 11,118.83

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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.