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Finding the Fourth Proportional to 19,674, 27,150.12 and 11,291.04

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Solution

The fourth proportional to 19,674, 27,150.12 and 11,291.04 is: 15,581.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,674 : 27,150.12 = 11,291.04 : x
  2. Step 2: Convert to fraction form
    19,674/27,150.12 = 11,291.04/x
  3. Step 3: Cross multiply
    19,674x = 27,150.12 × 11,291.04
  4. Step 4: Simplify right side
    19,674x = 306,553,090.92
  5. Step 5: Solve for x
    x = 306,553,090.92/19,674
  6. Step 6: Final answer
    x = 15,581.64

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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.