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Finding the Fourth Proportional to 13,241.70, 19,856.43 and 7,696.62

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Solution

The fourth proportional to 13,241.70, 19,856.43 and 7,696.62 is: 11,541.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,241.70 : 19,856.43 = 7,696.62 : x
  2. Step 2: Convert to fraction form
    13,241.70/19,856.43 = 7,696.62/x
  3. Step 3: Cross multiply
    13,241.70x = 19,856.43 × 7,696.62
  4. Step 4: Simplify right side
    13,241.70x = 152,827,396.27
  5. Step 5: Solve for x
    x = 152,827,396.27/13,241.70
  6. Step 6: Final answer
    x = 11,541.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.