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Finding the Fourth Proportional to 11,838.36, 17,777.70 and 11,343

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Solution

The fourth proportional to 11,838.36, 17,777.70 and 11,343 is: 17,033.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,838.36 : 17,777.70 = 11,343 : x
  2. Step 2: Convert to fraction form
    11,838.36/17,777.70 = 11,343/x
  3. Step 3: Cross multiply
    11,838.36x = 17,777.70 × 11,343
  4. Step 4: Simplify right side
    11,838.36x = 201,652,451.10
  5. Step 5: Solve for x
    x = 201,652,451.10/11,838.36
  6. Step 6: Final answer
    x = 17,033.82

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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.