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Finding the Fourth Proportional to 19,841.68, 27,383.88 and 11,458

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Solution

The fourth proportional to 19,841.68, 27,383.88 and 11,458 is: 15,813.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,841.68 : 27,383.88 = 11,458 : x
  2. Step 2: Convert to fraction form
    19,841.68/27,383.88 = 11,458/x
  3. Step 3: Cross multiply
    19,841.68x = 27,383.88 × 11,458
  4. Step 4: Simplify right side
    19,841.68x = 313,764,497.04
  5. Step 5: Solve for x
    x = 313,764,497.04/19,841.68
  6. Step 6: Final answer
    x = 15,813.40

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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.