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Finding the Fourth Proportional to 19,793.68, 27,317.64 and 11,410

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Solution

The fourth proportional to 19,793.68, 27,317.64 and 11,410 is: 15,747.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,793.68 : 27,317.64 = 11,410 : x
  2. Step 2: Convert to fraction form
    19,793.68/27,317.64 = 11,410/x
  3. Step 3: Cross multiply
    19,793.68x = 27,317.64 × 11,410
  4. Step 4: Simplify right side
    19,793.68x = 311,694,272.40
  5. Step 5: Solve for x
    x = 311,694,272.40/19,793.68
  6. Step 6: Final answer
    x = 15,747.16

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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.