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Finding the Fourth Proportional to 11,958.10, 17,933.50 and 9,612.54

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Solution

The fourth proportional to 11,958.10, 17,933.50 and 9,612.54 is: 14,415.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,958.10 : 17,933.50 = 9,612.54 : x
  2. Step 2: Convert to fraction form
    11,958.10/17,933.50 = 9,612.54/x
  3. Step 3: Cross multiply
    11,958.10x = 17,933.50 × 9,612.54
  4. Step 4: Simplify right side
    11,958.10x = 172,386,486.09
  5. Step 5: Solve for x
    x = 172,386,486.09/11,958.10
  6. Step 6: Final answer
    x = 14,415.88

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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.