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Finding the Fourth Proportional to 16,884.72, 23,299.80 and 9,431.28

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Solution

The fourth proportional to 16,884.72, 23,299.80 and 9,431.28 is: 13,014.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,884.72 : 23,299.80 = 9,431.28 : x
  2. Step 2: Convert to fraction form
    16,884.72/23,299.80 = 9,431.28/x
  3. Step 3: Cross multiply
    16,884.72x = 23,299.80 × 9,431.28
  4. Step 4: Simplify right side
    16,884.72x = 219,746,937.74
  5. Step 5: Solve for x
    x = 219,746,937.74/16,884.72
  6. Step 6: Final answer
    x = 13,014.54

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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.