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Finding the Fourth Proportional to 16,564.38, 22,850.79 and 9,845.25

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Solution

The fourth proportional to 16,564.38, 22,850.79 and 9,845.25 is: 13,581.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,564.38 : 22,850.79 = 9,845.25 : x
  2. Step 2: Convert to fraction form
    16,564.38/22,850.79 = 9,845.25/x
  3. Step 3: Cross multiply
    16,564.38x = 22,850.79 × 9,845.25
  4. Step 4: Simplify right side
    16,564.38x = 224,971,740.25
  5. Step 5: Solve for x
    x = 224,971,740.25/16,564.38
  6. Step 6: Final answer
    x = 13,581.66

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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.