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Finding the Fourth Proportional to 11,842.28, 17,762.01 and 9,212.42

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Solution

The fourth proportional to 11,842.28, 17,762.01 and 9,212.42 is: 13,817.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,842.28 : 17,762.01 = 9,212.42 : x
  2. Step 2: Convert to fraction form
    11,842.28/17,762.01 = 9,212.42/x
  3. Step 3: Cross multiply
    11,842.28x = 17,762.01 × 9,212.42
  4. Step 4: Simplify right side
    11,842.28x = 163,631,096.16
  5. Step 5: Solve for x
    x = 163,631,096.16/11,842.28
  6. Step 6: Final answer
    x = 13,817.53

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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.