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Finding the Fourth Proportional to 11,464.90, 17,236.24 and 9,154.42

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Solution

The fourth proportional to 11,464.90, 17,236.24 and 9,154.42 is: 13,762.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,464.90 : 17,236.24 = 9,154.42 : x
  2. Step 2: Convert to fraction form
    11,464.90/17,236.24 = 9,154.42/x
  3. Step 3: Cross multiply
    11,464.90x = 17,236.24 × 9,154.42
  4. Step 4: Simplify right side
    11,464.90x = 157,787,780.18
  5. Step 5: Solve for x
    x = 157,787,780.18/11,464.90
  6. Step 6: Final answer
    x = 13,762.68

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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.