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Finding the Fourth Proportional to 11,059.40, 16,676.75 and 9,849.80

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Solution

The fourth proportional to 11,059.40, 16,676.75 and 9,849.80 is: 14,852.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,059.40 : 16,676.75 = 9,849.80 : x
  2. Step 2: Convert to fraction form
    11,059.40/16,676.75 = 9,849.80/x
  3. Step 3: Cross multiply
    11,059.40x = 16,676.75 × 9,849.80
  4. Step 4: Simplify right side
    11,059.40x = 164,262,652.15
  5. Step 5: Solve for x
    x = 164,262,652.15/11,059.40
  6. Step 6: Final answer
    x = 14,852.76

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.