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Finding the Fourth Proportional to 19,505.72, 26,902.59 and 16,821.38

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Solution

The fourth proportional to 19,505.72, 26,902.59 and 16,821.38 is: 23,200.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,505.72 : 26,902.59 = 16,821.38 : x
  2. Step 2: Convert to fraction form
    19,505.72/26,902.59 = 16,821.38/x
  3. Step 3: Cross multiply
    19,505.72x = 26,902.59 × 16,821.38
  4. Step 4: Simplify right side
    19,505.72x = 452,538,689.37
  5. Step 5: Solve for x
    x = 452,538,689.37/19,505.72
  6. Step 6: Final answer
    x = 23,200.31

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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.