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Finding the Fourth Proportional to 11,783.93, 17,676.11 and 9,433.01

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Solution

The fourth proportional to 11,783.93, 17,676.11 and 9,433.01 is: 14,149.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,783.93 : 17,676.11 = 9,433.01 : x
  2. Step 2: Convert to fraction form
    11,783.93/17,676.11 = 9,433.01/x
  3. Step 3: Cross multiply
    11,783.93x = 17,676.11 × 9,433.01
  4. Step 4: Simplify right side
    11,783.93x = 166,738,990.16
  5. Step 5: Solve for x
    x = 166,738,990.16/11,783.93
  6. Step 6: Final answer
    x = 14,149.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.