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Finding the Fourth Proportional to 19,946.69, 27,509.67 and 11,987.38

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Solution

The fourth proportional to 19,946.69, 27,509.67 and 11,987.38 is: 16,532.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,946.69 : 27,509.67 = 11,987.38 : x
  2. Step 2: Convert to fraction form
    19,946.69/27,509.67 = 11,987.38/x
  3. Step 3: Cross multiply
    19,946.69x = 27,509.67 × 11,987.38
  4. Step 4: Simplify right side
    19,946.69x = 329,768,799.19
  5. Step 5: Solve for x
    x = 329,768,799.19/19,946.69
  6. Step 6: Final answer
    x = 16,532.51

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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.