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Finding the Fourth Proportional to 16,729.09, 23,086.15 and 9,277.09

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Solution

The fourth proportional to 16,729.09, 23,086.15 and 9,277.09 is: 12,802.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,729.09 : 23,086.15 = 9,277.09 : x
  2. Step 2: Convert to fraction form
    16,729.09/23,086.15 = 9,277.09/x
  3. Step 3: Cross multiply
    16,729.09x = 23,086.15 × 9,277.09
  4. Step 4: Simplify right side
    16,729.09x = 214,172,291.30
  5. Step 5: Solve for x
    x = 214,172,291.30/16,729.09
  6. Step 6: Final answer
    x = 12,802.39

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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.