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Finding the Fourth Proportional to 14,771.36, 20,384.16 and 8,057

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Solution

The fourth proportional to 14,771.36, 20,384.16 and 8,057 is: 11,118.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,771.36 : 20,384.16 = 8,057 : x
  2. Step 2: Convert to fraction form
    14,771.36/20,384.16 = 8,057/x
  3. Step 3: Cross multiply
    14,771.36x = 20,384.16 × 8,057
  4. Step 4: Simplify right side
    14,771.36x = 164,235,177.12
  5. Step 5: Solve for x
    x = 164,235,177.12/14,771.36
  6. Step 6: Final answer
    x = 11,118.49

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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.