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Finding the Fourth Proportional to 13,174.71, 19,668.16 and 12,713.41

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Solution

The fourth proportional to 13,174.71, 19,668.16 and 12,713.41 is: 18,979.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,174.71 : 19,668.16 = 12,713.41 : x
  2. Step 2: Convert to fraction form
    13,174.71/19,668.16 = 12,713.41/x
  3. Step 3: Cross multiply
    13,174.71x = 19,668.16 × 12,713.41
  4. Step 4: Simplify right side
    13,174.71x = 250,049,382.03
  5. Step 5: Solve for x
    x = 250,049,382.03/13,174.71
  6. Step 6: Final answer
    x = 18,979.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.