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Finding the Fourth Proportional to 11,464.96, 17,212.04 and 9,744.52

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Solution

The fourth proportional to 11,464.96, 17,212.04 and 9,744.52 is: 14,629.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,464.96 : 17,212.04 = 9,744.52 : x
  2. Step 2: Convert to fraction form
    11,464.96/17,212.04 = 9,744.52/x
  3. Step 3: Cross multiply
    11,464.96x = 17,212.04 × 9,744.52
  4. Step 4: Simplify right side
    11,464.96x = 167,723,068.02
  5. Step 5: Solve for x
    x = 167,723,068.02/11,464.96
  6. Step 6: Final answer
    x = 14,629.19

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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.