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Finding the Fourth Proportional to 17,657.73, 24,369.82 and 10,205.73

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Solution

The fourth proportional to 17,657.73, 24,369.82 and 10,205.73 is: 14,085.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,657.73 : 24,369.82 = 10,205.73 : x
  2. Step 2: Convert to fraction form
    17,657.73/24,369.82 = 10,205.73/x
  3. Step 3: Cross multiply
    17,657.73x = 24,369.82 × 10,205.73
  4. Step 4: Simplify right side
    17,657.73x = 248,711,777.55
  5. Step 5: Solve for x
    x = 248,711,777.55/17,657.73
  6. Step 6: Final answer
    x = 14,085.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.