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Finding the Fourth Proportional to 12,816.48, 17,674.38 and 11,395.92

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Solution

The fourth proportional to 12,816.48, 17,674.38 and 11,395.92 is: 15,715.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,816.48 : 17,674.38 = 11,395.92 : x
  2. Step 2: Convert to fraction form
    12,816.48/17,674.38 = 11,395.92/x
  3. Step 3: Cross multiply
    12,816.48x = 17,674.38 × 11,395.92
  4. Step 4: Simplify right side
    12,816.48x = 201,415,820.53
  5. Step 5: Solve for x
    x = 201,415,820.53/12,816.48
  6. Step 6: Final answer
    x = 15,715.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.