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Finding the Fourth Proportional to 11,830.36, 17,757.08 and 9,771.34

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Solution

The fourth proportional to 11,830.36, 17,757.08 and 9,771.34 is: 14,666.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,830.36 : 17,757.08 = 9,771.34 : x
  2. Step 2: Convert to fraction form
    11,830.36/17,757.08 = 9,771.34/x
  3. Step 3: Cross multiply
    11,830.36x = 17,757.08 × 9,771.34
  4. Step 4: Simplify right side
    11,830.36x = 173,510,328.45
  5. Step 5: Solve for x
    x = 173,510,328.45/11,830.36
  6. Step 6: Final answer
    x = 14,666.54

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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.