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Finding the Fourth Proportional to 16,279.29, 22,465.53 and 9,567.09

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Solution

The fourth proportional to 16,279.29, 22,465.53 and 9,567.09 is: 13,202.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,279.29 : 22,465.53 = 9,567.09 : x
  2. Step 2: Convert to fraction form
    16,279.29/22,465.53 = 9,567.09/x
  3. Step 3: Cross multiply
    16,279.29x = 22,465.53 × 9,567.09
  4. Step 4: Simplify right side
    16,279.29x = 214,929,747.41
  5. Step 5: Solve for x
    x = 214,929,747.41/16,279.29
  6. Step 6: Final answer
    x = 13,202.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.