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Finding the Fourth Proportional to 12,201.90, 16,828.40 and 9,680.02

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Solution

The fourth proportional to 12,201.90, 16,828.40 and 9,680.02 is: 13,350.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,201.90 : 16,828.40 = 9,680.02 : x
  2. Step 2: Convert to fraction form
    12,201.90/16,828.40 = 9,680.02/x
  3. Step 3: Cross multiply
    12,201.90x = 16,828.40 × 9,680.02
  4. Step 4: Simplify right side
    12,201.90x = 162,899,186.30
  5. Step 5: Solve for x
    x = 162,899,186.30/12,201.90
  6. Step 6: Final answer
    x = 13,350.31

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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.