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Finding the Fourth Proportional to 19,669.83, 27,143.28 and 11,171.74

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Solution

The fourth proportional to 19,669.83, 27,143.28 and 11,171.74 is: 15,416.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,669.83 : 27,143.28 = 11,171.74 : x
  2. Step 2: Convert to fraction form
    19,669.83/27,143.28 = 11,171.74/x
  3. Step 3: Cross multiply
    19,669.83x = 27,143.28 × 11,171.74
  4. Step 4: Simplify right side
    19,669.83x = 303,237,666.91
  5. Step 5: Solve for x
    x = 303,237,666.91/19,669.83
  6. Step 6: Final answer
    x = 15,416.38

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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.