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Finding the Fourth Proportional to 23,087.43, 31,879.53 and 14,603.22

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Solution

The fourth proportional to 23,087.43, 31,879.53 and 14,603.22 is: 20,164.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,087.43 : 31,879.53 = 14,603.22 : x
  2. Step 2: Convert to fraction form
    23,087.43/31,879.53 = 14,603.22/x
  3. Step 3: Cross multiply
    23,087.43x = 31,879.53 × 14,603.22
  4. Step 4: Simplify right side
    23,087.43x = 465,543,790.09
  5. Step 5: Solve for x
    x = 465,543,790.09/23,087.43
  6. Step 6: Final answer
    x = 20,164.38

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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.