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Finding the Fourth Proportional to 11,902.68, 17,881.76 and 10,241.96

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Solution

The fourth proportional to 11,902.68, 17,881.76 and 10,241.96 is: 15,386.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,902.68 : 17,881.76 = 10,241.96 : x
  2. Step 2: Convert to fraction form
    11,902.68/17,881.76 = 10,241.96/x
  3. Step 3: Cross multiply
    11,902.68x = 17,881.76 × 10,241.96
  4. Step 4: Simplify right side
    11,902.68x = 183,144,270.65
  5. Step 5: Solve for x
    x = 183,144,270.65/11,902.68
  6. Step 6: Final answer
    x = 15,386.81

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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.