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Finding the Fourth Proportional to 17,798.34, 24,561.42 and 10,728.66

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Solution

The fourth proportional to 17,798.34, 24,561.42 and 10,728.66 is: 14,805.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,798.34 : 24,561.42 = 10,728.66 : x
  2. Step 2: Convert to fraction form
    17,798.34/24,561.42 = 10,728.66/x
  3. Step 3: Cross multiply
    17,798.34x = 24,561.42 × 10,728.66
  4. Step 4: Simplify right side
    17,798.34x = 263,511,124.30
  5. Step 5: Solve for x
    x = 263,511,124.30/17,798.34
  6. Step 6: Final answer
    x = 14,805.38

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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.