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Finding the Fourth Proportional to 17,741.38, 26,612.07 and 9,950.80

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Solution

The fourth proportional to 17,741.38, 26,612.07 and 9,950.80 is: 14,926.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,741.38 : 26,612.07 = 9,950.80 : x
  2. Step 2: Convert to fraction form
    17,741.38/26,612.07 = 9,950.80/x
  3. Step 3: Cross multiply
    17,741.38x = 26,612.07 × 9,950.80
  4. Step 4: Simplify right side
    17,741.38x = 264,811,203.34
  5. Step 5: Solve for x
    x = 264,811,203.34/17,741.38
  6. Step 6: Final answer
    x = 14,926.19

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