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Finding the Fourth Proportional to 16,884.80, 23,300.16 and 9,432.80

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Solution

The fourth proportional to 16,884.80, 23,300.16 and 9,432.80 is: 13,016.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,884.80 : 23,300.16 = 9,432.80 : x
  2. Step 2: Convert to fraction form
    16,884.80/23,300.16 = 9,432.80/x
  3. Step 3: Cross multiply
    16,884.80x = 23,300.16 × 9,432.80
  4. Step 4: Simplify right side
    16,884.80x = 219,785,749.25
  5. Step 5: Solve for x
    x = 219,785,749.25/16,884.80
  6. Step 6: Final answer
    x = 13,016.78

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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.