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Finding the Fourth Proportional to 15,343.57, 22,996.51 and 7,943.81

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Solution

The fourth proportional to 15,343.57, 22,996.51 and 7,943.81 is: 11,905.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,343.57 : 22,996.51 = 7,943.81 : x
  2. Step 2: Convert to fraction form
    15,343.57/22,996.51 = 7,943.81/x
  3. Step 3: Cross multiply
    15,343.57x = 22,996.51 × 7,943.81
  4. Step 4: Simplify right side
    15,343.57x = 182,679,906.10
  5. Step 5: Solve for x
    x = 182,679,906.10/15,343.57
  6. Step 6: Final answer
    x = 11,905.96

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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.