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Finding the Fourth Proportional to 14,772, 20,383.76 and 8,485.28

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Solution

The fourth proportional to 14,772, 20,383.76 and 8,485.28 is: 11,708.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,772 : 20,383.76 = 8,485.28 : x
  2. Step 2: Convert to fraction form
    14,772/20,383.76 = 8,485.28/x
  3. Step 3: Cross multiply
    14,772x = 20,383.76 × 8,485.28
  4. Step 4: Simplify right side
    14,772x = 172,961,911.05
  5. Step 5: Solve for x
    x = 172,961,911.05/14,772
  6. Step 6: Final answer
    x = 11,708.77

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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.