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Finding the Fourth Proportional to 19,661.14, 27,141.66 and 12,591.64

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Solution

The fourth proportional to 19,661.14, 27,141.66 and 12,591.64 is: 17,382.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,661.14 : 27,141.66 = 12,591.64 : x
  2. Step 2: Convert to fraction form
    19,661.14/27,141.66 = 12,591.64/x
  3. Step 3: Cross multiply
    19,661.14x = 27,141.66 × 12,591.64
  4. Step 4: Simplify right side
    19,661.14x = 341,758,011.72
  5. Step 5: Solve for x
    x = 341,758,011.72/19,661.14
  6. Step 6: Final answer
    x = 17,382.41

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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.