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Finding the Fourth Proportional to 20,839, 28,758.09 and 11,407.36

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Solution

The fourth proportional to 20,839, 28,758.09 and 11,407.36 is: 15,742.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,839 : 28,758.09 = 11,407.36 : x
  2. Step 2: Convert to fraction form
    20,839/28,758.09 = 11,407.36/x
  3. Step 3: Cross multiply
    20,839x = 28,758.09 × 11,407.36
  4. Step 4: Simplify right side
    20,839x = 328,053,885.54
  5. Step 5: Solve for x
    x = 328,053,885.54/20,839
  6. Step 6: Final answer
    x = 15,742.30

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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.