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Finding the Fourth Proportional to 19,400, 26,772 and 10,568

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Solution

The fourth proportional to 19,400, 26,772 and 10,568 is: 14,583.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,400 : 26,772 = 10,568 : x
  2. Step 2: Convert to fraction form
    19,400/26,772 = 10,568/x
  3. Step 3: Cross multiply
    19,400x = 26,772 × 10,568
  4. Step 4: Simplify right side
    19,400x = 282,926,496
  5. Step 5: Solve for x
    x = 282,926,496/19,400
  6. Step 6: Final answer
    x = 14,583.84

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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.