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Finding the Fourth Proportional to 16,391.38, 22,619.43 and 9,677.26

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Solution

The fourth proportional to 16,391.38, 22,619.43 and 9,677.26 is: 13,354.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,391.38 : 22,619.43 = 9,677.26 : x
  2. Step 2: Convert to fraction form
    16,391.38/22,619.43 = 9,677.26/x
  3. Step 3: Cross multiply
    16,391.38x = 22,619.43 × 9,677.26
  4. Step 4: Simplify right side
    16,391.38x = 218,894,105.16
  5. Step 5: Solve for x
    x = 218,894,105.16/16,391.38
  6. Step 6: Final answer
    x = 13,354.22

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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.