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Finding the Fourth Proportional to 11,971.78, 17,933.19 and 9,758.50

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Solution

The fourth proportional to 11,971.78, 17,933.19 and 9,758.50 is: 14,617.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,971.78 : 17,933.19 = 9,758.50 : x
  2. Step 2: Convert to fraction form
    11,971.78/17,933.19 = 9,758.50/x
  3. Step 3: Cross multiply
    11,971.78x = 17,933.19 × 9,758.50
  4. Step 4: Simplify right side
    11,971.78x = 175,001,034.62
  5. Step 5: Solve for x
    x = 175,001,034.62/11,971.78
  6. Step 6: Final answer
    x = 14,617.80

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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.