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Finding the Fourth Proportional to 19,600, 27,048 and 10,768

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Solution

The fourth proportional to 19,600, 27,048 and 10,768 is: 14,859.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,600 : 27,048 = 10,768 : x
  2. Step 2: Convert to fraction form
    19,600/27,048 = 10,768/x
  3. Step 3: Cross multiply
    19,600x = 27,048 × 10,768
  4. Step 4: Simplify right side
    19,600x = 291,252,864
  5. Step 5: Solve for x
    x = 291,252,864/19,600
  6. Step 6: Final answer
    x = 14,859.84

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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.