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Finding the Fourth Proportional to 16,567.38, 22,859.73 and 9,299.73

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Solution

The fourth proportional to 16,567.38, 22,859.73 and 9,299.73 is: 12,831.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,567.38 : 22,859.73 = 9,299.73 : x
  2. Step 2: Convert to fraction form
    16,567.38/22,859.73 = 9,299.73/x
  3. Step 3: Cross multiply
    16,567.38x = 22,859.73 × 9,299.73
  4. Step 4: Simplify right side
    16,567.38x = 212,589,316.87
  5. Step 5: Solve for x
    x = 212,589,316.87/16,567.38
  6. Step 6: Final answer
    x = 12,831.80

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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.