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Finding the Fourth Proportional to 17,741, 26,611.50 and 9,950.42

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Solution

The fourth proportional to 17,741, 26,611.50 and 9,950.42 is: 14,925.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,741 : 26,611.50 = 9,950.42 : x
  2. Step 2: Convert to fraction form
    17,741/26,611.50 = 9,950.42/x
  3. Step 3: Cross multiply
    17,741x = 26,611.50 × 9,950.42
  4. Step 4: Simplify right side
    17,741x = 264,795,601.83
  5. Step 5: Solve for x
    x = 264,795,601.83/17,741
  6. Step 6: Final answer
    x = 14,925.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.