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Finding the Fourth Proportional to 20,013.77, 29,979.13 and 11,668.47

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Solution

The fourth proportional to 20,013.77, 29,979.13 and 11,668.47 is: 17,478.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,013.77 : 29,979.13 = 11,668.47 : x
  2. Step 2: Convert to fraction form
    20,013.77/29,979.13 = 11,668.47/x
  3. Step 3: Cross multiply
    20,013.77x = 29,979.13 × 11,668.47
  4. Step 4: Simplify right side
    20,013.77x = 349,810,627.95
  5. Step 5: Solve for x
    x = 349,810,627.95/20,013.77
  6. Step 6: Final answer
    x = 17,478.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.